Tgr5 agonist complexes for treating diabetes and cancer

ABSTRACT

Provided herein are complexes of metformin or metformin analogues and a TGR5 ligand that are useful in treating diseases including diabetes, cardiovascular disease, and cancer.

CROSS-REFERENCES TO RELATED APPLICATIONS

This application claims priority to U.S. Provisional Application No.62/003,140, filed May 27, 2014, the content of which is incorporatedherein by reference in its entirety and for all purposes.

BACKGROUND OF THE INVENTION

Diabetes mellitus is a major health epidemic categorized into twosubclasses: type 1, known as insulin dependent diabetes mellitus (IDDM),and type 2, noninsulin dependent diabetes mellitus (NIDDM).¹ Type 2diabetes is a chronic and progressive metabolic disorder of carbohydrateand lipid metabolism and accounts for nearly 90% of diabetes mellitusand results from impaired insulin secretion and reduced peripheralinsulin sensitivity—a burgeoning, worldwide health problem affectingalmost twenty-six million people in the United States.² Current oraltherapies for this disease are limited by availability of effectivemedications, including, for example, insulin secretagogues, such assulfonylureas; activators of the peroxisome proliferator-activatedreceptor-γ (“PPAR-γ”) such as the thiazolidinediones; and effectors ofglucose-lowering, exemplified by metformin and its analogues. All of theexisting oral hypoglycemic agents have subsequent failure after longterm administration. Deficiencies associated with currently availabletreatments include hypoglycemic episodes, weight gain, gastrointestinalproblems, edema, and loss of responsiveness over time.

Metformin is a commonly used medication in the treatment of diabetes.Recent interest in metformin as a potential anticancer agent has sparkedstudies suggesting cancer patients with or without diabetes may benefitin lowering insulin levels. The currently marketed metforminhydrochloride salt was approved by the United States Food and DrugAdministration (FDA) in 1995 as an oral hypoglycemic agent. Given aloneor in combination with a sulfonylurea and insulin, metformin reduceshyperglycemia through decreased hepatic glucose output and enhancedglucose uptake by skeletal muscle. However, metformin HCl has poor oralbioavailability (only about 50%) because of its poor absorption fromlower gastrointestinal tract. Thus there is a need in the art to developnew therapies for diabetes and cancer as well as a need to developcompositions having greater bioavailability to patients suffering fromdiabetes and its associated diseases, and cancer. Provided herein aresolutions to these and other problems in the art.

BRIEF SUMMARY OF THE INVENTION

Provided herein, inter alia, are complexes useful for treating diabetes,polycystic ovary syndrome, cardiovascular disease, fatty liver diseaseand cancer.

The complexes described herein include metformin or metformin analogueand a TGR5 ligand. In one aspect is a complex that includes a metforminor metformin analogue non-covalently bound to a TGR5 ligand. In anotheraspect is a complex between a metformin or metformin analogue and a TGR5ligand, wherein the TGR5 ligand is non-covalently bound to the metforminor metformin analogue.

Also provided herein are pharmaceutical compositions. In one aspect, isa pharmaceutical composition including a metformin or a metforminanalogue, a TGR5 ligand, and a pharmaceutically acceptable excipient.

Methods of treating cancer are provided herein. In one aspect, is amethod of treating cancer by administering to a subject in need thereofa combined therapeutically effective amount of a metformin or metforminanalogue and a TGR5 ligand as described herein.

Methods of treating diabetes and its associated diseases are includedherein. In one aspect is a method of treating diabetes in a subject inneed thereof by administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand asdescribed herein. In another aspect is a method of treating a metabolicdisease associated with diabetes in a subject in need thereof byadministering a combined therapeutically effective amount of a metforminor metformin analogue and a TGR5 ligand as described herein. In anotheraspect is a method of treating hyperglycemia, insulin resistance,hyperinsulinemia, dyslipidemia, hypertriglyceridemia, hypertension,fibrinolysis, or endothelial dysfunction by administering a combinedtherapeutically effective amount of a metformin or metformin analogueand a TGR5 ligand as described herein. In yet another aspect is a methodof reducing blood pressure by administering a combined therapeuticallyeffective amount of a metformin or metformin analogue and a TGR5 ligandas described herein. In another aspect is a method of decreasingglycated hemoglobin (HbA1c) by administering a combined therapeuticallyeffective amount of a metformin or metformin analogue and a TGR5 ligandas described herein. In another aspect is a method of reducing liverweight or reducing kidney weight by administering a combinedtherapeutically effective amount of a metformin or metformin analogueand a TGR5 ligand as described herein.

Also provided herein are methods for treating cardiovascular disease. Inone aspect is a method for treating cardiovascular disease in a subjectin need thereof by administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand asdescribed herein.

Methods for treating polycystic ovary syndrome are also provided herein.In one aspect is a method for treating polycystic ovary syndrome in asubject in need thereof by administering a combined therapeuticallyeffective amount of a metformin or metformin analogue and a TGR5 ligandas described herein.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 Chemical structures of exemplary metformin-based bile acidcomplexes.

FIG. 2 Chemical structures of exemplary metformin-based bile acidtauro-form complexes.

FIG. 3 Chemical structures of exemplary metfornin-based bile acid glycolform complexes.

FIG. 4 Chemical structures of natural TGR5 agonists: oleanolic acid,betulinic acid, and ursolic acid.

FIG. 5 Synthesis of metformin-based TGR5 natural product OA, BA, and UAcomplexes, reaction conditions: (a) NaOH/MeOH; (f) OA, n-butanol, reflux12 h (g), BA, n-butanol, reflux 12 h, and (h), UA, n-butanol, reflux 12h.

FIG. 6 Synthesis of TGR5 agonist-metformin complexes, reactionconditions; (a) NaOH/EtOH; (b) CA, (c) UDCA, (d) 6eCDCA, (e) 6eUDCA, andEtOH, 50° C., 12 h.

FIGS. 7A7F. HEK293 overexpressing TGR5 cells were transfected 100 ngpCRE-luc reporter along with 10 ng pCMV-beta-galactosidase by HiPerfect(Qiagen). 24 hours post transfection, cells were treated with vehicle(DMSO) and appropriate ligand or complex as indicated. Luciferase- andbeta-gal activities were assayed 24 hours later. (DY301=metformin/CAcomplex; DY302=metformin/UDCA complex; DY306=metformin/6α-ethyl UDCAcomplex; DY 305=metformim/6α-ethyl CDCA complex;DY310=metformin/oleanolic acid complex). Legend: FIG. 7A: DY301 and LCA;FIG. 7B: DY302 and UDCA; FIG. 7C: DY306 and 6eUDCA; FIG. 7D: 6eCDCA andDY305; FIG. 7E: DY310 and OA; FIG. 7F: DY301 and CA.

FIG. 8 Effect on body weight of administration of ligand and complexadministered daily for 5 weeks in db/db mice (seven per group), withvehicle controls. (V1=vehicle 1 (Lean, Non-diabetic mice): V2=Vehicle 2(Obese, Diabetic mice): 217=6α-ethyl CDCA; 248=6α-ethyl UDCA;305===metformin/6α-ethyl CDCA complex; 306=metformin/6α-ethyl UDCAcomplex; Met=metformin).

FIG. 9. Histogram depicting effect of metformin-based TGR5 complexes onfasting glucose levels: complexes and ligands were tested in highglucose db/db mice at a lower dose of 30 mg/kg of body weightadministered daily for 5 weeks; the metformin-based TGR5 agonistcomplexes DY305 and DY306 caused a decline in the fast blood glucose by˜10-25% as compared to the vehicle-treated control db/db mice (30 mg/kgBW, 0.057 mmol of metformin-based TGR5 agonist complexes, and 250 mg/kgBW, 1.52 mmol of metformin). (Lean=no metformin or agonist, Non-diabeticmice; db/db=no metformin or agonist, Obese Diabetic mice; db/db DY217=nometformin and 30 mg 6α-ethyl CDCA in db/db mice treatment; db/dbDY248=no metformin and 30 mg 6α-ethyl UDCA in db/db mice treatment;db/db DY305=30 mg total complex (metformin and DY217(6α-ethyl CDCA))corresponding to 1:1 stoichiometry in db/db mice; db/db DY306=30 mgtotal complex (metformin and DY248(6α-ethyl UDCA)) corresponding to 1:1stoichiometry in db/db mice; Metformin—250 mg metformin in db/db micetreatment). Legend: x-axis (histogram columns left to right): leancontrol, db/db control, db/db DY217, db/db DY248, db/db DY305, db/dbDY306, metformin; y-axis: blood glucose (mg/dl).

FIG. 10 Histogram depicting effect of metformin-based TGR5 complexes onliver weight: The metformin-based TGR5 agonist complexes were tested inhigh glucose db/db mice at a lower dose of 30 mg/kg of body weightadministered daily for 5 weeks. The metformin-based TGR5 agonistcomplexes DY305 and DY306 caused a decline in the liver weight by ˜5-10%as compared to the vehicle-treated control db/db mice (30 mg/kg BWmetformin-based TGR5 agonist complexes, 250 mg/kg BW metformin). Thedose of the metformin-based TGR5 agonist complex DY306 (30 mg, 0.057mmol) via i.p. injection was 3% of that of metformin (250 mg, 1.52mmol), assumed that the metformin-based complex DY305 and DY306 would beabsorbed more efficiently than metformin. (Lean=no metformin or agonist,Non-diabetic mice; db/db=no metformin or agonist, Obese Diabetic mice;db/db DY217=no metformin and 30 mg 6α-ethyl CDCA in db/db micetreatment; db/db DY248=no metformin and 30 mg 6α-ethyl UDCA in db/dbmice treat; db/db DY305=30 mg total complex (metformin andDY217(6α-ethyl CDCA)) corresponding to 1:1 stoichiometry in db/db mice;db/db DY306=db/db DY306=30 mg total complex (metformin andDY248(6α-ethyl UDCA)) corresponding to 1:1 stoichiometry in db/db mice;Metformin—250 mg metformin in db/db mice treatment). Legend: x-axis(histogram columns left to right): lean control, db/db control, db/dbDY217, db/db DY248, db/db DY305, db/db DY306, metformin; y-axis: liverweight (g).

FIG. 11 Histogram depicting effect of metformin-based TGR5 complexes onkidney weight: The metformin-based TGR5 agonist complexes were tested inhigh glucose db/db mice at a lower dose of 30 mg/kg of body weightadministered daily for 5 weeks. The metformin-based TGR5 agonistcomplexes DY305 and DY306 caused a decline in the kidney weight by˜5-20% as compared to the vehicle-treated control db/db mice (30 mg/kgBW metformin-based TGR5 agonist complexes, 250 mg/kg BW metformin). Thedose of the metformin-based TGR5 agonist complex DY306 (30 mg, 0.057mmol) via i.p. injection was 3% of that of metformin (250 mg, 1.52mmol), assumed that the metformin-based complex DY305 and DY306 would beabsorbed more efficiently than metformin. (Lean=no metformin or agonist,Non-diabetic mice; db/db=no metformin or agonist, Obese Diabetic mice;db/db DY217=no metformin and 30 mg 6α-ethyl CDCA in db/db micetreatment; db/db DY248=no metformin and 30 mg 6α-ethyl UDCA in db/dbmice treat; db/db DY305=30 mg total complex (metformin andDY217(6α-ethyl CDCA)) corresponding to 1:1 stoichiometry in db/db mice;db/db DY306=db/db DY306=30 mg total complex (metformin andDY248(6α-ethyl UDCA)) corresponding to 1:1 stoichiometry in db/db mice;Metformin—250 mg metformin in db/db mice treatment). Legend: x-axis(histogram columns left to right): lean control, db/db control, db/dbDY217, db/db DY248, db/db DY305, db/db DY306, metformin; y-axis: kidneyweight (g).

FIG. 12 Histogram depicting effect of metformin-based TGR5 agonistcomplexes on HbA1c levels (type 2 diabetic male db/db mice model (30mg/kg BW metformin-based TGR5 agonist complexes, 250 mg/kg BWmetformin). The dose of the metformin-based TGR5 agonist complex DY306(30 mg, 0.057 mmol) via i.p. injection was 3% of that of metformin (250mg, 1.52 mmol), assumed that the metformin-based complex DY306 would bemore efficiently in HbA1c lowering than metformin. (Lean=no metformin oragonist, Non-diabetic mice; db/db=no metformin or agonist, ObeseDiabetic mice; db/db DY217=no metformin and 30 mg 6α-ethyl CDCA in db/dbmice treatment; db/db DY248=no metformin and 30 mg 6α-ethyl UDCA indb/db mice treat; db/db DY305=30 mg total complex (metformin andDY217(6-ethyl CDCA)) corresponding to 1:1 stoichiometry in db/db mice;db/db DY306=db/db DY306=30 mg total complex (metformin andDY248(6α-ethyl UDCA)) corresponding to 1:1 stoichiometry in db/db mice;Metformin—250 mg metformin in db/db mice treatment). Legend: x-axis(histogram columns left to right): lean, db/db, db/db+metformin (Met),db/db+DY 305, db/db+DY 306; y-axis: % HbA1c.

FIG. 13 Proposed metformin-UDCA complex stabilized by complexationthrough cations of metformin to oxygens of UDCA by intramolecularhydrogen bonds.

DETAILED DESCRIPTION OF THE INVENTION

Unless defined otherwise, technical and scientific terms used hereinhave the same meaning as commonly understood by a person of ordinaryskill in the art. See, e.g., Singleton et al., DICTIONARY OFMICROBIOLOGY AND MOLECULAR BIOLOGY 2nd ed., J. Wiley & Sons (New York,N.Y. 1994); Sambrook et al., MOLECULAR CLONING, A LABORATORY MANUAL,Cold Springs Harbor Press (Cold Springs Harbor, N Y 1989). Any methods,devices and materials similar or equivalent to those described hereincan be used in the practice of this invention. The following definitionsare provided to facilitate understanding of certain terms usedfrequently herein and are not meant to limit the scope of the presentdisclosure.

The abbreviations used herein have their conventional meaning within thechemical and biological arts. The chemical structures and formulae setforth herein are constructed according to the standard rules of chemicalvalency known in the chemical arts.

Where substituent groups are specified by their conventional chemicalformulae, written from left to right, they equally encompass thechemically identical substituents that would result from writing thestructure from right to left, e.g., —CH₂O—is equivalent to —OCH₂—.

The term “alkyl,” by itself or as part of another substituent, means,unless otherwise stated, a straight (i.e., unbranched) or branchedcarbon chain (or carbon), or combination thereof, which may be fullysaturated, mono- or polyunsaturated and can include di- and multivalentradicals, having the number of carbon atoms designated (i.e., C₁-C₁₀means one to ten carbons). Alkyl is not cyclized. Examples of saturatedhydrocarbon radicals include, but are not limited to, groups such asmethyl, ethyl, n-propyl, isopropyl, n-butyl, t-butyl, isobutyl,sec-butyl, (cyclohexyl)methyl, homologs and isomers of, for example,n-pentyl, n-hexyl, n-heptyl, n-octyl, and the like. An unsaturated alkylgroup is one having one or more double bonds or triple bonds (e.g.alkene, alkyne). Examples of unsaturated alkyl groups include, but arenot limited to, vinyl, 2-propenyl, crotyl, 2-isopentenyl,2-(butadienyl), 2,4-pentadienyl, 3-(1,4-pentadienyl), ethynyl, 1- and3-propynyl, 3-butynyl, and the higher homologs and isomers. An alkoxy isan alkyl attached to the remainder of the molecule via an oxygen linker(—O—).

The term “alkylene,” by itself or as part of another substituent, means,unless otherwise stated, a divalent radical derived from an alkyl, asexemplified, but not limited by, —CH₂CH₂CH₂CH₂—. Typically, an alkyl (oralkylene) group will have from 1 to 24 carbon atoms, with those groupshaving 10 or fewer carbon atoms being preferred in the presentinvention. A “lower alkyl” or “lower alkylene” is a shorter chain alkylor alkylene group, generally having eight or fewer carbon atoms. Theterm “alkenylene,” by itself or as part of another substituent, means,unless otherwise stated, a divalent radical derived from an alkene.

The term “heteroalkyl,” by itself or in combination with another term,means, unless otherwise stated, a stable straight or branched chain, orcombinations thereof, including at least one carbon atom and at leastone heteroatom selected from the group consisting of O, N, P, Si, and S,and wherein the nitrogen and sulfur atoms may optionally be oxidized,and the nitrogen heteroatom may optionally be quatemized. Heteroalkyl isnot cyclized. The heteroatom(s) O, N, P, S, and Si may be placed at anyinterior position of the heteroalkyl group or at the position at whichthe alkyl group is attached to the remainder of the molecule. Examplesinclude, but are not limited to: —CH₂—CH₂—O—CH₃, —CH₂—CH₂—NH—CH₃,—CH₂—CH₂—N(CH₃)—CH₃, —CH₂—S—CH₂—CH₃, —CH₂—CH₂, —S(O)—CH₃,—CH₂—CH₂—S(O)₂—CH₃, —CH═CH—O—CH₃, —Si(CH₃)₃, —CH₂—CH═N—OCH₃,—CH═CH—N(CH₃)—CH₃, —O—CH₃, —O—CH₂—CH₃, and —CN. Up to two or threeheteroatoms may be consecutive, such as, for example, —CH₂—NH—OCH₃ and—CH₂—O—Si(CH₃)₃.

Similarly, the term “heteroalkylene,” by itself or as part of anothersubstituent, means, unless otherwise stated, a divalent radical derivedfrom heteroalkyl, as exemplified, but not limited by,—CH₂—CH₂—S—CH₂—CH₂— and —CH₂—S—CH₂—CH₂—NH—CH₂—. For heteroalkylenegroups, heteroatoms can also occupy either or both of the chain termini(e.g., alkyleneoxy, alkylenedioxy, alkyleneamino, alkylenediamino, andthe like). Still further, for alkylene and heteroalkylene linkinggroups, no orientation of the linking group is implied by the directionin which the formula of the linking group is written. For example, theformula —C(O)₂R′— represents both —C(O)₂R′— and —R′C(O)₂—. As describedabove, heteroalkyl groups, as used herein, include those groups that areattached to the remainder of the molecule through a heteroatom, such as—C(O)R′, —C(O)NR′, —NR′R″, —OR′, —SR′, and/or —SO₂R′. Where“heteroalkyl” is recited, followed by recitations of specificheteroalkyl groups, such as —NR′R″ or the like, it will be understoodthat the terms heteroalkyl and —NR′R″ are not redundant or mutuallyexclusive. Rather, the specific heteroalkyl groups are recited to addclarity. Thus, the term “heteroalkyl” should not be interpreted hereinas excluding specific heteroalkyl groups, such as —NR′R″ or the like.

The terms “cycloalkyl” and “heterocycloalkyl,” by themselves or incombination with other terms, mean, unless otherwise stated, cyclicversions of “alkyl” and “heteroalkyl,” respectively. Additionally, forheterocycloalkyl, a heteroatom can occupy the position at which theheterocycle is attached to the remainder of the molecule. Cycloalkyl andheterocycloalkyl are non-aromatic. Examples of cycloalkyl include, butare not limited to, cyclopropyl, cyclobutyl, cyclopentyl, cyclohexyl,1-cyclohexenyl, 3-cyclohexenyl, cycloheptyl, and the like. Examples ofheterocycloalkyl include, but are not limited to,1-(1,2,5,6-tetrahydropyridyl), 1-piperidinyl, 2-piperidinyl,3-piperidinyl, 4-morpholinyl, 3-morpholinyl, tetrahydrofuran-2-yl,tetrahydrofuran-3-yl, tetrahydrothien-2-yl, tetrahydrothien-3-yl,1-piperazinyl, 2-piperazinyl, and the like. A “cycloalkylene” and a“heterocycloalkylene,” alone or as part of another substituent, means adivalent radical derived from a cycloalkyl and heterocycloalkyl,respectively.

The terms “halo” or “halogen,” by themselves or as part of anothersubstituent, mean, unless otherwise stated, a fluorine, chlorine,bromine, or iodine atom. Additionally, terms such as “haloalkyl” aremeant to include monohaloalkyl and polyhaloalkyl. For example, the term“halo(C₁-C₄)alkyl” includes, but is not limited to, fluoromethyl,difluoromethyl, trifluoromethyl, 2,2,2-trifluoroethyl, 4-chlorobutyl,3-bromopropyl, and the like.

The term “acyl” means, unless otherwise stated, —C(O)R where R is asubstituted or unsubstituted alkyl, substituted or unsubstitutedcycloalkyl, substituted or unsubstituted heteroalkyl, substituted orunsubstituted heterocycloalkyl, substituted or unsubstituted aryl, orsubstituted or unsubstituted heteroaryl.

The term “aryl” means, unless otherwise stated, a polyunsaturated,aromatic, hydrocarbon substituent, which can be a single ring ormultiple rings (preferably from 1 to 3 rings) that are fused together(i.e., a fused ring aryl) or linked covalently. A fused ring aryl refersto multiple rings fused together wherein at least one of the fused ringsis an aryl ring. The term “heteroaryl” refers to aryl groups (or rings)that contain at least one heteroatom such as N, O, or S, wherein thenitrogen and sulfur atoms are optionally oxidized, and the nitrogenatom(s) are optionally quaternized. Thus, the term “heteroaryl” includesfused ring heteroaryl groups (i.e., multiple rings fused togetherwherein at least one of the fused rings is a heteroaromatic ring). A5,6-fused ring heteroarylene refers to two rings fused together, whereinone ring has 5 members and the other ring has 6 members, and wherein atleast one ring is a heteroaryl ring. Likewise, a 6,6-fused ringheteroarylene refers to two rings fused together, wherein one ring has 6members and the other ring has 6 members, and wherein at least one ringis a heteroaryl ring. And a 6,5-fused ring heteroarylene refers to tworings fused together, wherein one ring has 6 members and the other ringhas 5 members, and wherein at least one ring is a heteroaryl ring. Aheteroaryl group can be attached to the remainder of the moleculethrough a carbon or heteroatom. Non-limiting examples of aryl andheteroaryl groups include phenyl, 1-naphthyl, 2-naphthyl, 4-biphenyl,1-pyrrolyl, 2-pyrrolyl, 3-pyrrolyl, 3-pyrazolyl, 2-imidazolyl,4-imidazolyl, pyrazinyl, 2-oxazolyl, 4-oxazolyl, 2-phenyl-4-oxazolyl,5-oxazolyl, 3-isoxazolyl, 4-isoxazolyl, 5-isoxazolyl, 2-thiazolyl,4-thiazolyl, 5-thiazolyl, 2-furyl, 3-furyl, 2-thienyl, 3-thienyl,2-pyridyl, 3-pyridyl, 4-pyridyl, 2-pyrimidyl, 4-pyrimidyl,5-benzothiazolyl, purinyl, 2-benzimidazolyl, 5-indolyl, 1-isoquinolyl,5-isoquinolyl, 2-quinoxalinyl, 5-quinoxalinyl, 3-quinolyl, and6-quinolyl. Substituents for each of the above noted aryl and heteroarylring systems are selected from the group of acceptable substituentsdescribed below. An “arylene” and a “heteroarylene,” alone or as part ofanother substituent, mean a divalent radical derived from an aryl andheteroaryl, respectively. Non-limiting examples of heteroaryl groupsinclude pyridinyl, pyrimidinyl, thiophenyl, thienyl, furanyl, indolyl,benzoxadiazolyl, benzodioxolyl, benzodioxanyl, thianaphthanyl,pyrrolopyridinyl, indazolyl, quinolinyl, quinoxalinyl, pyridopyrazinyl,quinazolinonyl, benzoisoxazolyl, imidazopyridinyl, benzofuranyl,benzothienyl, benzothiophenyl, phenyl, naphthyl, biphenyl, pyrrolyl,pyrazolyl, imidazolyl, pyrazinyl, oxazolyl, isoxazolyl, thiazolyl,furylthienyl, pyridyl, pyrimidyl, benzothiazolyl, purinyl,benzimidazolyl, isoquinolyl, thiadiazolyl, oxadiazolyl, pyrrolyl,diazolyl, triazolyl, tetrazolyl, benzothiadiazolyl, isothiazolyl,pyrazolopyrimidinyl, pyrrolopyrimidinyl, benzotriazolyl, benzoxazolyl,or quinolyl. The examples above may be substituted or unsubstituted anddivalent radicals of each heteroaryl example above are non-limitingexamples of heteroarylene.

A fused ring heterocyloalkyl-aryl is an aryl fused to aheterocycloalkyl. A fused ring heterocycloalkyl-heteroaryl is aheteroaryl fused to a heterocycloalkyl. A fused ringheterocycloalkyl-cycloalkyl is a heterocycloalkyl fused to a cycloalkyl.A fused ring heterocycloalkyl-heterocycloalkyl is a heterocycloalkylfused to another heterocycloalkyl. Fused ring heterocycloalkyl-aryl,fused ring heterocycloalkyl-heteroaryl, fused ringheterocycloalkyl-cycloalkyl, or fused ringheterocycloalkyl-heterocycloalkyl may each independently beunsubstituted or substituted with one or more of the substituentsdescribed herein.

The term “oxo,” as used herein, means an oxygen that is double bonded toa carbon atom.

Each of the above terms (e.g., “alkyl,” “heteroalkyl,” “aryl,” and“heteroaryl”) includes both substituted and unsubstituted forms of theindicated radical. Preferred substituents for each type of radical areprovided below.

Substituents for the alkyl and heteroalkyl radicals (including thosegroups often referred to as alkylene, alkenyl, heteroalkylene,heteroalkenyl, alkynyl, cycloalkyl, heterocycloalkyl, cycloalkenyl, andheterocycloalkenyl) can be one or more of a variety of groups selectedfrom, but not limited to, —OR′, ═O, ═NR′, ═N—OR′, —NR′R″, —SR′,-halogen, —SiR′R″R′″, —OC(O)R′, —C(O)R′, —CO₂R′, —CONR′R″, —OC(O)NR′R″,—NR″C(O)R′, —NR′—C(O)NR″R′″, —NR″C(O)₂R′, —NR—C(NR′R″R′″)═NR″″,—NR—C(NR′R″)═NR′″, —S(O)R′, —S(O)₂R′, —S(O)₂NR′R″, —NRSO₂R′, —NR′NR″R′″,—ONR′R″, —NR′C(O)NR″NR′″R″″, —CN, —NO₂, monophosphate (or derivativesthereof), diphosphate (or derivatives thereof), triphosphate (orderivatives thereof), in a number ranging from zero to (2m′+1), where m′is the total number of carbon atoms in such radical. R, R′, R″, R′″, andR″″ each preferably independently refer to hydrogen, substituted orunsubstituted heteroalkyl, substituted or unsubstituted cycloalkyl,substituted or unsubstituted heterocycloalkyl, substituted orunsubstituted aryl (e.g., aryl substituted with 1-3 halogens),substituted or unsubstituted heteroaryl, substituted or unsubstitutedalkyl, alkoxy, or thioalkoxy groups, or arylalkyl groups. When acompound of the invention includes more than one R group, for example,each of the R groups is independently selected as are each R′, R″, R′″,and R″″ group when more than one of these groups is present. When R′ andR″ are attached to the same nitrogen atom, they can be combined with thenitrogen atom to form a 4-, 5-, 6-, or 7-membered ring. For example,—NR′R″ includes, but is not limited to, 1-pyrrolidinyl and4-morpholinyl. From the above discussion of substituents, one of skillin the art will understand that the term “alkyl” is meant to includegroups including carbon atoms bound to groups other than hydrogengroups, such as haloalkyl (e.g., —CF₃ and —CH₂CF₃) and acyl (e.g.,—C(O)CH₃, —C(O)CF₃, —C(O)CH₂OCH₃, and the like).

Similar to the substituents described for the alkyl radical,substituents for the aryl and heteroaryl groups are varied and areselected from, for example: —OR′, —NR′R″, —SR′, -halogen, —SiR′R″R′″,—OC(O)R′, —C(O)R′, —CO₂R′, —CONR′R″, —OC(O)NR′R″, —NR″C(O)R′,—NR′—C(O)NR″R′″, —NR″C(O)₂R′, —NR—C(NR′R″R′″)═NR″″, —NR—C(NR′R″)═NR′″,—S(O)R′, —S(O)₂R′, —S(O)₂NR′R″, —NRSO₂R′, —NR′NR″R′″, —ONR′R″,—NR′C(O)NR′″NR′″R″″, —CN, —NO₂, —R′, —N₃, —CH(Ph)₂, fluoro(C₁-C₄)alkoxy,and fluoro(C₁-C₄)alkyl, monophosphate (or derivatives thereof),diphosphate (or derivatives thereof), triphosphate (or derivativesthereof), in a number ranging from zero to the total number of openvalences on the aromatic ring system; and where R′, R″, R′″, and R″″ arepreferably independently selected from hydrogen, substituted orunsubstituted alkyl, substituted or unsubstituted heteroalkyl,substituted or unsubstituted cycloalkyl, substituted or unsubstitutedheterocycloalkyl, substituted or unsubstituted aryl, and substituted orunsubstituted heteroaryl. When a compound of the invention includes morethan one R group, for example, each of the R groups is independentlyselected as are each R′, R″, R′″, and R″″ groups when more than one ofthese groups is present.

Two or more substituents may optionally be joined to form aryl,heteroaryl, cycloalkyl, or heterocycloalkyl groups. Such so-calledring-forming substituents are typically, though not necessarily, foundattached to a cyclic base structure. In one embodiment, the ring-formingsubstituents are attached to adjacent members of the base structure. Forexample, two ring-forming substituents attached to adjacent members of acyclic base structure create a fused ring structure. In embodiments, thering-forming substituents are attached to a single member of the basestructure. For example, two ring-forming substituents attached to asingle member of a cyclic base structure create a spirocyclic structure.In yet another embodiment, the ring-forming substituents are attached tonon-adjacent members of the base structure.

Two of the substituents on adjacent atoms of the aryl or heteroaryl ringmay optionally form a ring of the formula -T-C(O)—(CRR′)_(q)-U-, whereinT and U are independently —NR—, —O—, —CRR′—, or a single bond, and q isan integer of from 0 to 3. Alternatively, two of the substituents onadjacent atoms of the aryl or heteroaryl ring may optionally be replacedwith a substituent of the formula -A-(CH₂)_(r)—B−, wherein A and B areindependently —CRR′—, —O—, —NR—, —S—, —S(O)—, —S(O)₂—, —S(O)₂NR′—, or asingle bond, and r is an integer of from 1 to 4. One of the single bondsof the new ring so formed may optionally be replaced with a double bond.Alternatively, two of the substituents on adjacent atoms of the aryl orheteroaryl ring may optionally be replaced with a substituent of theformula —(CRR′)_(s)—X′—(C″R″R′″)_(d)—, where s and d are independentlyintegers of from 0 to 3, and X′ is —O—, —NR′—, —S—, —S(O)—, —S(O)₂—, or—S(O)₂NR′—. The substituents R, R′, R″, and R′″ are preferablyindependently selected from hydrogen, substituted or unsubstitutedalkyl, substituted or unsubstituted heteroalkyl, substituted orunsubstituted cycloalkyl, substituted or unsubstituted heterocycloalkyl,substituted or unsubstituted aryl, and substituted or unsubstitutedheteroaryl.

As used herein, the terms “heteroatom” or “ring heteroatom” are meant toinclude, oxygen (O), nitrogen (N), sulfur (S), phosphorus (P), andsilicon (Si).

A “substituent group,” as used herein, means a group selected from thefollowing moieties:

-   -   (A) oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂, —NO₂,        —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,        —NHC(O) NH₂, —NHSO₂H, —NHC═(O)H, —NHC(O)—OH, —NHOH, —OCF₃,        —OCHF₂, —NHSO₂CH₃, —N₃, unsubstituted alkyl, unsubstituted        heteroalkyl, unsubstituted cycloalkyl, unsubstituted        heterocycloalkyl, unsubstituted aryl, unsubstituted heteroaryl,        monophosphate (or derivatives thereof), diphosphate (or        derivatives thereof), or triphosphate (or derivatives thereof),        and    -   (B) alkyl, heteroalkyl, cycloalkyl, heterocycloalkyl, aryl,        heteroaryl, monophosphate (or derivatives thereof), diphosphate        (or derivatives thereof), or triphosphate (or derivatives        thereof), substituted with at least one substituent selected        from:        -   (i) oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂, —NO₂,            —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂,            —NHC(O)NHNH₂, —NHC(O) NH₂, —NHSO₂H, —NHC═(O)H, —NHC(O)—OH,            —NHOH, —OCF₃, —OCHF₂, —NHSO₂CH₃, —N₃, unsubstituted alkyl,            unsubstituted heteroalkyl, unsubstituted cycloalkyl,            unsubstituted heterocycloalkyl, unsubstituted aryl,            unsubstituted heteroaryl, monophosphate (or derivatives            thereof), diphosphate (or derivatives thereof), or            triphosphate (or derivatives thereof), and        -   (ii) alkyl, heteroalkyl, cycloalkyl, heterocycloalkyl, aryl,            heteroaryl, monophosphate (or derivatives thereof),            diphosphate (or derivatives thereof), or triphosphate (or            derivatives thereof), substituted with at least one            substituent selected from:            -   (a) oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,                —NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂,                —NHC(O)NHNH₂, —NHC(O) NH₂, —NHSO₂H, —NHC═(O)H,                —NHC(O)—OH, —NHOH, —OCF₃, —OCHF₂, —NHSO₂CH₃, —N₃,                unsubstituted alkyl, unsubstituted heteroalkyl,                unsubstituted cycloalkyl, unsubstituted                heterocycloalkyl, unsubstituted aryl, unsubstituted                heteroaryl, monophosphate (or derivatives thereof),                diphosphate (or derivatives thereof), or triphosphate                (or derivatives thereof), and            -   (b) alkyl, heteroalkyl, cycloalkyl, heterocycloalkyl,                aryl, heteroaryl, monophosphate (or derivatives                thereof), diphosphate (or derivatives thereof), or                triphosphate (or derivatives thereof), substituted with                at least one substituent selected from: oxo, halogen,                —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂, —NO₂, —SH, —SO₂Cl,                —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,                —NHC(O) NH₂, —NHSO₂H, —NHC═(O)H, —NHC(O)—OH, —NHOH,                —OCF₃, —OCHF₂, —NHSO₂CH₃, —N₃, unsubstituted alkyl,                unsubstituted heteroalkyl, unsubstituted cycloalkyl,                unsubstituted heterocycloalkyl, unsubstituted aryl,                unsubstituted heteroaryl, monophosphate (or derivatives                thereof), diphosphate (or derivatives thereof), and                triphosphate (or derivatives thereof).

A “size-limited substituent” or “size-limited substituent group,” asused herein, means a group selected from all of the substituentsdescribed above for a “substituent group,” wherein each substituted orunsubstituted alkyl is a substituted or unsubstituted C₁-C₂₀ alkyl, eachsubstituted or unsubstituted heteroalkyl is a substituted orunsubstituted 2 to 20 membered heteroalkyl, each substituted orunsubstituted cycloalkyl is a substituted or unsubstituted C₃-C₈cycloalkyl, each substituted or unsubstituted heterocycloalkyl is asubstituted or unsubstituted 3 to 8 membered heterocycloalkyl, eachsubstituted or unsubstituted aryl is a substituted or unsubstitutedC₆-C₁₀ aryl, and each substituted or unsubstituted heteroaryl is asubstituted or unsubstituted 5 to 10 membered heteroaryl.

A “lower substituent” or “lower substituent group,” as used herein,means a group selected from all of the substituents described above fora “substituent group,” wherein each substituted or unsubstituted alkylis a substituted or unsubstituted C₁-C₈ alkyl, each substituted orunsubstituted heteroalkyl is a substituted or unsubstituted 2 to 8membered heteroalkyl, each substituted or unsubstituted cycloalkyl is asubstituted or unsubstituted C₃-C₇ cycloalkyl, each substituted orunsubstituted heterocycloalkyl is a substituted or unsubstituted 3 to 7membered heterocycloalkyl, each substituted or unsubstituted aryl is asubstituted or unsubstituted C₆-C₁₀ aryl, and each substituted orunsubstituted heteroaryl is a substituted or unsubstituted 5 to 9membered heteroaryl.

In embodiments, each substituted group described in the compounds hereinis substituted with at least one substituent group. More specifically,In embodiments, each substituted alkyl, substituted heteroalkyl,substituted cycloalkyl, substituted heterocycloalkyl, substituted aryl,substituted heteroaryl, substituted alkylene, substitutedheteroalkylene, substituted cycloalkylene, substitutedheterocycloalkylene, substituted arylene, and/or substitutedheteroarylene described in the compounds herein are substituted with atleast one substituent group. In other embodiments, at least one or allof these groups are substituted with at least one size-limitedsubstituent group. In other embodiments, at least one or all of thesegroups are substituted with at least one lower substituent group.

In other embodiments of the compounds herein, each substituted orunsubstituted alkyl may be a substituted or unsubstituted C₁-C₂₀ alkyl,each substituted or unsubstituted heteroalkyl is a substituted orunsubstituted 2 to 20 membered heteroalkyl, each substituted orunsubstituted cycloalkyl is a substituted or unsubstituted C₃-C₈cycloalkyl, each substituted or unsubstituted heterocycloalkyl is asubstituted or unsubstituted 3 to 8 membered heterocycloalkyl, eachsubstituted or unsubstituted aryl is a substituted or unsubstitutedC₆-C₁₀ aryl, and/or each substituted or unsubstituted heteroaryl is asubstituted or unsubstituted 5 to 10 membered heteroaryl. In embodimentsherein, each substituted or unsubstituted alkylene is a substituted orunsubstituted C₁-C₂₀ alkylene, each substituted or unsubstitutedheteroalkylene is a substituted or unsubstituted 2 to 20 memberedheteroalkylene, each substituted or unsubstituted cycloalkylene is asubstituted or unsubstituted C₃-C₈ cycloalkylene, each substituted orunsubstituted heterocycloalkylene is a substituted or unsubstituted 3 to8 membered heterocycloalkylene, each substituted or unsubstitutedarylene is a substituted or unsubstituted C₆-C₁₀ arylene, and/or eachsubstituted or unsubstituted heteroarylene is a substituted orunsubstituted 5 to 10 membered heteroarylene.

In embodiments, each substituted or unsubstituted alkyl is a substitutedor unsubstituted C₁-C₈ alkyl, each substituted or unsubstitutedheteroalkyl is a substituted or unsubstituted 2 to 8 memberedheteroalkyl, each substituted or unsubstituted cycloalkyl is asubstituted or unsubstituted C₃-C₇ cycloalkyl, each substituted orunsubstituted heterocycloalkyl is a substituted or unsubstituted 3 to 7membered heterocycloalkyl, each substituted or unsubstituted aryl is asubstituted or unsubstituted C₆-C₁₀ aryl, and/or each substituted orunsubstituted heteroaryl is a substituted or unsubstituted 5 to 9membered heteroaryl. In embodiments, each substituted or unsubstitutedalkylene is a substituted or unsubstituted C₁-C₈ alkylene, eachsubstituted or unsubstituted heteroalkylene is a substituted orunsubstituted 2 to 8 membered heteroalkylene, each substituted orunsubstituted cycloalkylene is a substituted or unsubstituted C₃-C₇cycloalkylene, each substituted or unsubstituted heterocycloalkylene isa substituted or unsubstituted 3 to 7 membered heterocycloalkylene, eachsubstituted or unsubstituted arylene is a substituted or unsubstitutedC₆-C₁₀ arylene, and/or each substituted or unsubstituted heteroaryleneis a substituted or unsubstituted 5 to 9 membered heteroarylene. Inembodiments, the compound is a chemical species set forth in theExamples section below.

The term “pharmaceutically acceptable salts” is meant to include saltsof active compounds or complexes prepared with relatively nontoxic acidsor bases, depending on the particular substituents found on thecompounds described herein. When compounds of the present inventioncontain relatively acidic functionalities, base addition salts can beobtained by contacting the neutral form of such compounds with asufficient amount of the desired base, either neat or in a suitableinert solvent. Thus, in embodiments, contacting basic metformin withacidic TGR5 ligands herein may result in forming a salt. In embodiments,salts of metformin or metformin analogues, or salts of TGR5 ligandsdescribed herein, when contacted with a sufficient amount of base oracid, may yield a salt or salt complex. Examples of pharmaceuticallyacceptable base addition salts include sodium, potassium, calcium,ammonium, organic amino, or magnesium salt, or a similar salt. Whencompounds of the present invention contain relatively basicfunctionalities, acid addition salts can be obtained by contacting theneutral form of such compounds with a sufficient amount of the desiredacid, either neat or in a suitable inert solvent. Examples ofpharmaceutically acceptable acid addition salts include those derivedfrom inorganic acids like hydrochloric, hydrobromic, nitric, carbonic,monohydrogencarbonic, phosphoric, monohydrogenphosphoric,dihydrogenphosphoric, sulfuric, monohydrogensulfuric, hydriodic, orphosphorous acids and the like, as well as the salts derived fromrelatively nontoxic organic acids like acetic, propionic, isobutyric,maleic, malonic, benzoic, succinic, suberic, fumaric, lactic, mandelic,phthalic, benzenesulfonic, p-tolylsulfonic, citric, tartaric,methanesulfonic, and the like. Also included are salts of amino acidssuch as arginate and the like, and salts of organic acids likeglucuronic or galactunoric acids and the like (see, e.g., Berge et al.,Journal of Pharmaceutical Science 66:1-19 (1977)). Certain specificcompounds of the present invention contain both basic and acidicfunctionalities that allow the compounds to be converted into eitherbase or acid addition salts. Other pharmaceutically acceptable carriersknown to those of skill in the art are suitable for the presentinvention. Salts tend to be more soluble in aqueous or other protonicsolvents that are the corresponding free base forms. In other cases, thepreparation may be a lyophilized powder in 1 mM-50 mM histidine, 0.1%-2%sucrose, 2%-7% mannitol at a pH range of 4.5 to 5.5, that is combinedwith buffer prior to use.

Thus, the compounds and complexes of the present invention may exist assalts, such as with pharmaceutically acceptable acids. The presentinvention includes such salts. Examples of such salts includehydrochlorides, hydrobromides, sulfates, methanesulfonates, nitrates,maleates, acetates, citrates, fumarates, tartrates (e.g., (+)-tartrates,(−)-tartrates, or mixtures thereof including racemic mixtures),succinates, benzoates, and salts with amino acids such as glutamic acid.These salts may be prepared by methods known to those skilled in theart.

The neutral forms of the compounds are preferably regenerated bycontacting the salt with a base or acid and isolating the parentcompound in a conventional manner. The parent form of the compound maydiffer from the various salt forms in certain physical properties, suchas solubility in polar solvents.

In addition to salt forms, the present invention provides compounds,which are in a prodrug form. Prodrugs of the compounds described hereinare those compounds that readily undergo chemical changes underphysiological conditions to provide the compounds of the presentinvention. Additionally, prodrugs can be converted to the complexes ofthe present invention by chemical or biochemical methods in an ex vivoenvironment. For example, prodrugs can be slowly converted to thecompounds of the present invention when placed in a transdermal patchreservoir with a suitable enzyme or chemical reagent. In embodiments,prodrug moieties described in Murakami et al. J. Med Chem., 2011, 54,5902; Sofia et al., J. Med Chem. 2010, 53, 7202; Lam et al. ACC, 2010,54, 3187; Chang et al., ACS Med Chem Lett., 2011, 2, 130; Furman et al.,Antiviral Res., 2011, 91, 120; Vernachio et al., ACC, 2011, 55, 1843;Zhou et al, AAC, 2011, 44, 76; Reddy et al., BMCL, 2010, 20, 7376; Lamet al., J. Virol., 2011, 85, 12334; Sofia et al., J. Med. Chem., 2012,55, 2481, Hecker et al., J. Med. Chem., 2008, 51, 2328; or Rautio etal., Nature Rev. Drug. Discov., 2008, 7, 255, all of which areincorporated herein by reference in their entirety for all purposes, maybe added to compounds described herein or used in methods describedherein.

Certain complexes and compounds of the present invention can exist inunsolvated forms as well as solvated forms, including hydrated forms. Ingeneral, the solvated forms are equivalent to unsolvated forms and areencompassed within the scope of the present invention. Certain compoundsof the present invention may exist in multiple crystalline or amorphousforms. In general, all physical forms are equivalent for the usescontemplated by the present invention and are intended to be within thescope of the present invention.

Certain compounds of the present invention possess asymmetric carbonatoms (optical or chiral centers) or double bonds; the enantiomers,racemates, diastereomers, tautomers, geometric isomers, stereoisometricforms that may be defined, in terms of absolute stereochemistry, as (R)-or (S)- or, as (D)- or (L)- for amino acids, and individual isomers areencompassed within the scope of the present invention. The compounds ofthe present invention do not include those which are known in art to betoo unstable to synthesize and/or isolate. The present invention ismeant to include compounds in racemic and optically pure forms.Optically active (R)- and (S)-, or (D)- and (L)-isomers may be preparedusing chiral synthons or chiral reagents, or resolved using conventionaltechniques. When the compounds described herein contain olefinic bondsor other centers of geometric asymmetry, and unless specified otherwise,it is intended that the compounds include both E and Z geometricisomers.

As used herein, the term “isomers” refers to compounds having the samenumber and kind of atoms, and hence the same molecular weight, butdiffering in respect to the structural arrangement or configuration ofthe atoms.

The term “tautomer,” as used herein, refers to one of two or morestructural isomers which exist in equilibrium and which are readilyconverted from one isomeric form to another.

It will be apparent to one skilled in the art that certain compounds ofthis invention may exist in tautomeric forms, all such tautomeric formsof the compounds being within the scope of the invention.

Unless otherwise stated, structures depicted herein are also meant toinclude all stereochemical forms of the structure; i.e., the R and Sconfigurations for each asymmetric center. Therefore, singlestereochemical isomers as well as enantiomeric and diastereomericmixtures of the present compounds are within the scope of the invention.

Unless otherwise stated, structures depicted herein are also meant toinclude compounds which differ only in the presence of one or moreisotopically enriched atoms. For example, compounds having the presentstructures except for the replacement of a hydrogen by a deuterium ortritium, or the replacement of a carbon by ¹³C- or ¹⁴C-enriched carbonare within the scope of this invention.

The compounds of the present invention may also contain unnaturalproportions of atomic isotopes at one or more of the atoms thatconstitute such compounds. For example, the compounds may beradiolabeled with radioactive isotopes, such as for example tritium(³H), iodine-125 (¹²⁵I), or carbon-14 (¹⁴C). All isotopic variations ofthe compounds of the present invention, whether radioactive or not, areencompassed within the scope of the present invention.

The symbol “

” denotes the point of attachment of a chemical moiety to the remainderof a molecule or chemical formula.

The terms “a” or “an,” as used in herein means one or more. In addition,the phrase “substituted with a[n],” as used herein, means the specifiedgroup may be substituted with one or more of any or all of the namedsubstituents. For example, where a group, such as an alkyl or heteroarylgroup, is “substituted with an unsubstituted C₁-C₂₀ alkyl, orunsubstituted 2 to 20 membered heteroalkyl,” the group may contain oneor more unsubstituted C₁-C₂₀ alkyls, and/or one or more unsubstituted 2to 20 membered heteroalkyls. Moreover, where a moiety is substitutedwith an R substituent, the group may be referred to as “R-substituted.”Where a moiety is R-substituted, the moiety is substituted with at leastone R substituent and each R substituent is optionally different. Wherea particular R group is present in the description of a chemical genus,a Roman alphabetic symbol may be used to distinguish each appearance ofthat particular R group. For example, where multiple R¹³ substituentsare present, each R¹³ substituent may be distinguished as R^(13A),R^(13B), R^(13C), R^(13D), etc., wherein each of R¹³A, R^(13B), R^(13C),R^(13D), etc. is defined within the scope of the definition of R¹³ andoptionally differently.

Descriptions of compounds of the present invention are limited byprinciples of chemical bonding known to those skilled in the art.Accordingly, where a group may be substituted by one or more of a numberof substituents, such substitutions are selected so as to comply withprinciples of chemical bonding and to give compounds which are notinherently unstable and/or would be known to one of ordinary skill inthe art as likely to be unstable under ambient conditions, such asaqueous, neutral, and several known physiological conditions. Forexample, a heterocycloalkyl or heteroaryl is attached to the remainderof the molecule via a ring heteroatom in compliance with principles ofchemical bonding known to those skilled in the art thereby avoidinginherently unstable compounds.

“Analog,” “analogue,” or “derivative” is used in accordance with itsplain ordinary meaning within Chemistry and Biology and refers to achemical compound that is structurally similar to another compound(i.e., a so-called “reference” compound) but differs in composition,e.g., in the replacement of one atom by an atom of a different element,or in the presence of a particular functional group, or the replacementof one functional group by another functional group, or the absolutestereochemistry of one or more chiral centers of the reference compound.Accordingly, an analogue is a compound that is similar or comparable infunction and appearance but not in structure or origin to a referencecompound.

The terms “treating” or “treatment” refers to any indicia of success inthe treatment or amelioration of an injury, disease, pathology orcondition, including any objective or subjective parameter such asabatement; remission; diminishing of symptoms or making the injury,pathology or condition more tolerable to the patient; slowing in therate of degeneration or decline; making the final point of degenerationless debilitating; improving a patient's physical or mental well-being.The treatment or amelioration of symptoms can be based on objective orsubjective parameters; including the results of a physical examination,electrocardiogram, echocardiography, radio-imaging, nuclear scan, and/orstress testing, neuropsychiatric exams, and/or a psychiatric evaluation.For example, certain methods herein treat diabetes, its associateddiseases, cancer, or cardiovascular disease. In embodiments, certainmethods herein treat diabetes by decreasing, for example, glucoselevels, insulin resistance, hypertriglyceridemia, or hyperinsulinemia.In embodiments, certain methods herein treat cancer, where the cancermay be associated with hyperinsulinemia. In embodiments, certain methodsherein treat cardiovascular disease by, for example, decreasinghypertension (i.e. by lowering diastolic or systolic blood pressure),atherosclerosis, atherothrombosis, or the incidence of coronary heartdisease or myocardial infarction, or by increasing cardiac performance,improving exercise tolerance, preventing heart failure, increasing bloodoxygen content, or improving respiratory function. The term “treating”and conjugations thereof, include prevention of an injury, pathology,condition, or disease.

“Patient” or “subject in need thereof” refers to a living organismsuffering from or prone to a disease or condition that can be treated byadministration of a compound or pharmaceutical composition, as providedherein. Non-limiting examples include humans, other mammals, bovines,rats, mice, dogs, monkeys, goat, sheep, cows, deer, and othernon-mammalian animals. In embodiments, a patient is human.

“Disease” or “condition” refer to a state of being or health status of apatient or subject capable of being treated with a compound,pharmaceutical composition, or method provided herein. In embodiments,the disease is diabetes. In embodiments, the disease is a diseaseassociated with diabetes. In embodiments, the disease is a cancer. Inembodiments, the disease is cardiovascular disease.

The term “associated” or “associated with” in the context of a substanceor substance activity or function associated with a disease (e.g. aprotein associated disease, a symptom associated with cancer, diabetes,or cardiovascular disease) means that the disease is caused orcharacterized by (in whole or in part), or a symptom of the disease iscaused or characterized by (in whole or in part) the substance orsubstance activity or function. For example, a symptom of a disease orcondition associated with an increased glucose levels or insulinresistance. As used herein, what is described as being associated with adisease, if a causative or characterizing agent, could be a target fortreatment of the disease. For example, a disease associated withdiabetes, may be treated with an agent (e.g. complex as describedherein) effective for decreasing, for example, glucose levels in apatient.

The term “diabetes” as used herein refers to onset and inducement ofdiabetes mellitus in any manner and includes type 1, type 2,gestational, steroid-induced, HIV treatment induced and autoimmunediabetes. Diabetes is recognized as a complex, chronic disease in which60% to 70% of all case fatalities among diabetic patients are a resultof cardiovascular complications. Diabetes is not only considered acoronary heart disease risk equivalent but is also identified as anindependent predictor of adverse events, including recurrent myocardialinfarction, congestive heart failure, and death following acardiovascular incident. The adoption of tighter glucose control andaggressive treatment for cardiovascular risk factors would be expectedto reduce the risk of coronary heart disease complications and improveoverall survival among diabetic patients. Yet, diabetic patients are twoto three times more likely to experience an acute myocardial infarctionthan non-diabetic patients, and diabetic patients live eight to thirteenyears less than non-diabetic patients.

As used herein, the term “cancer” refers to all types of cancer,neoplasm, or malignant or benign tumors found in mammals, includingleukemia, carcinomas and sarcomas. Exemplary cancers include acutemyeloid leukemia (“AML”), chronic myelogenous leukemia (“CML”), andcancer of the brain, breast, pancreas, colon, liver, kidney, lung,non-small cell lung, melanoma, ovary, sarcoma, and prostate. Additionalexamples include, cervix cancers, stomach cancers, head & neck cancers,uterus cancers, mesothelioma, metastatic bone cancer, Medulloblastoma,Hodgkin's Disease, Non-Hodgkin's Lymphoma, multiple myeloma,neuroblastoma, ovarian cancer, rhabdomyosarcoma, primary thrombocytosis,primary macroglobulinemia, primary brain tumors, cancer, malignantpancreatic insulanoma, malignant carcinoid, urinary bladder cancer,premalignant skin lesions, testicular cancer, lymphomas, thyroid cancer,neuroblastoma, esophageal cancer, genitourinary tract cancer, malignanthypercalcemia, endometrial cancer, adrenal cortical cancer, andneoplasms of the endocrine and exocrine pancreas.

The term “leukemia” refers broadly to progressive, malignant diseases ofthe blood-forming organs and is generally characterized by a distortedproliferation and development of leukocytes and their precursors in theblood and bone marrow. Leukemia is generally clinically classified onthe basis of (1) the duration and character of the disease-acute orchronic; (2) the type of cell involved; myeloid (myelogenous), lymphoid(lymphogenous), or monocytic; and (3) the increase or non-increase inthe number abnormal cells in the blood-leukemic or aleukemic(subleukemic). The murine leukemia model is widely accepted as beingpredictive of in vivo anti-leukemic activity. It is believed that acompound that tests positive in the P388 cell assay will generallyexhibit some level of anti-leukemic activity regardless of the type ofleukemia being treated. Accordingly, the present invention includes amethod of treating leukemia, including treating acute myeloid leukemia,chronic lymphocytic leukemia, acute granulocytic leukemia, chronicgranulocytic leukemia, acute promyelocytic leukemia, adult T-cellleukemia, aleukemic leukemia, a leukocythemic leukemia, basophylicleukemia, blast cell leukemia, bovine leukemia, chronic myelocyticleukemia, leukemia cutis, embryonal leukemia, eosinophilic leukemia,Gross' leukemia, hairy-cell leukemia, hemoblastic leukemia,hemocytoblastic leukemia, histiocytic leukemia, stem cell leukemia,acute monocytic leukemia, leukopenic leukemia, lymphatic leukemia,lymphoblastic leukemia, lymphocytic leukemia, lymphogenous leukemia,lymphoid leukemia, lymphosarcoma cell leukemia, mast cell leukemia,megakaryocytic leukemia, micromyeloblastic leukemia, monocytic leukemia,myeloblastic leukemia, myelocytic leukemia, myeloid granulocyticleukemia, myelomonocytic leukemia, Naegeli leukemia, plasma cellleukemia, multiple myeloma, plasmacytic leukemia, promyelocyticleukemia, Rieder cell leukemia, Schilling's leukemia, stem cellleukemia, subleukemic leukemia, and undifferentiated cell leukemia.

The term “sarcoma” generally refers to a tumor which is made up of asubstance like the embryonic connective tissue and is generally composedof closely packed cells embedded in a fibrillar or homogeneoussubstance. Sarcomas which can be treated with a combination ofantineoplastic thiol-binding mitochondrial oxidant and an anticanceragent include a chondrosarcoma, fibrosarcoma, lymphosarcoma,melanosarcoma, myxosarcoma, osteosarcoma, Abemethy's sarcoma, adiposesarcoma, liposarcoma, alveolar soft part sarcoma, ameloblastic sarcoma,botryoid sarcoma, chloroma sarcoma, chorio carcinoma, embryonal sarcoma,Wilms' tumor sarcoma, endometrial sarcoma, stromal sarcoma, Ewing'ssarcoma, fascial sarcoma, fibroblastic sarcoma, giant cell sarcoma,granulocytic sarcoma, Hodgkin's sarcoma, idiopathic multiple pigmentedhemorrhagic sarcoma, immunoblastic sarcoma of B cells, lymphoma,immunoblastic sarcoma of T-cells, Jensen's sarcoma, Kaposi's sarcoma,Kupffer cell sarcoma, angiosarcoma, leukosarcoma, malignant mesenchymomasarcoma, parosteal sarcoma, reticulocytic sarcoma, Rous sarcoma,serocystic sarcoma, synovial sarcoma, and telangiectaltic sarcoma.

The term “melanoma” is taken to mean a tumor arising from themelanocytic system of the skin and other organs. Melanomas which can betreated with a combination of antineoplastic thiol-binding mitochondrialoxidant and an anticancer agent include, for example, acral-lentiginousmelanoma, amelanotic melanoma, benign juvenile melanoma, Cloudman'smelanoma, S91 melanoma, Harding-Passey melanoma, juvenile melanoma,lentigo maligna melanoma, malignant melanoma, nodular melanoma, subungalmelanoma, and superficial spreading melanoma.

The term “carcinoma” refers to a malignant new growth made up ofepithelial cells tending to infiltrate the surrounding tissues and giverise to metastases. Exemplary carcinomas which can be treated with acombination of antineoplastic thiol-binding mitochondrial oxidant and ananticancer agent include, for example, acinar carcinoma, acinouscarcinoma, adenocystic carcinoma, adenoid cystic carcinoma, carcinomaadenomatosum, carcinoma of adrenal cortex, alveolar carcinoma, alveolarcell carcinoma, basal cell carcinoma, carcinoma basocellulare, basaloidcarcinoma, basosquamous cell carcinoma, bronchioalveolar carcinoma,bronchiolar carcinoma, bronchogenic carcinoma, cerebriform carcinoma,cholangiocellular carcinoma, chorionic carcinoma, colloid carcinoma,comedo carcinoma, corpus carcinoma, cribriform carcinoma, carcinoma encuirasse, carcinoma cutaneum, cylindrical carcinoma, cylindrical cellcarcinoma, duct carcinoma, carcinoma durum, embryonal carcinoma,encephaloid carcinoma, epiermoid carcinoma, carcinoma epithelialeadenoides, exophytic carcinoma, carcinoma ex ulcere, carcinoma fibrosum,gelatiniforni carcinoma, gelatinous carcinoma, giant cell carcinoma,carcinoma gigantocellulare, glandular carcinoma, granulosa cellcarcinoma, hair-matrix carcinoma, hematoid carcinoma, hepatocellularcarcinoma, Hurthle cell carcinoma, hyaline carcinoma, hypemephroidcarcinoma, infantile embryonal carcinoma, carcinoma in situ,intraepidermal carcinoma, intraepithelial carcinoma, Krompecher'scarcinoma, Kulchitzky-cell carcinoma, large-cell carcinoma, lenticularcarcinoma, carcinoma lenticulare, lipomatous carcinoma, lymphoepithelialcarcinoma, carcinoma medullare, medullary carcinoma, melanoticcarcinoma, carcinoma molle, mucinous carcinoma, carcinoma muciparum,carcinoma mucocellulare, mucoepidermoid carcinoma, carcinoma mucosum,mucous carcinoma, carcinoma myxomatodes, nasopharyngeal carcinoma, oatcell carcinoma, carcinoma ossificans, osteoid carcinoma, papillarycarcinoma, periportal carcinoma, preinvasive carcinoma, prickle cellcarcinoma, pultaceous carcinoma, renal cell carcinoma of kidney, reservecell carcinoma, carcinoma sarcomatodes, schneiderian carcinoma,scirrhous carcinoma, carcinoma scroti, signet-ring cell carcinoma,carcinoma simplex, small-cell carcinoma, solanoid carcinoma, spheroidalcell carcinoma, spindle cell carcinoma, carcinoma spongiosum, squamouscarcinoma, squamous cell carcinoma, string carcinoma, carcinomatelangiectaticum, carcinoma telangiectodes, transitional cell carcinoma,carcinoma tuberosum, tuberous carcinoma, verrucous carcinoma, andcarcinoma villosum.

“Cancer model organism”, as used herein, is an organism exhibiting aphenotype indicative of cancer, or the activity of cancer causingelements, within the organism. The term cancer is defined above. A widevariety of organisms may serve as cancer model organisms, and includefor example, cancer cells and mammalian organisms such as rodents (e.g.mouse or rat) and primates (such as humans). Cancer cell lines arewidely understood by those skilled in the art as cells exhibitingphenotypes or genotypes similar to in vivo cancers. Cancer cell lines asused herein includes cell lines from animals (e.g. mice) and fromhumans.

As used herein, “cardiovascular disease” refers to diseases associatedwith the heart, blood vessels or both. Cardiovascular diseases include,but are not limited to, coronary heart disease, cardiomyopathy,hypertensive heart disease, heart failure, cardiac dysrhythmias,inflammatory heart disease, peripheral arterial disease, cerebrovasculardisease and inflammatory heart disease.

As used herein, the term “polycystic ovary syndrome” or “PCOS” refers toendocrine disorders and associated diseases thereof characterized bymenstrual irregularity. Clinical manifestations of PCOS include, but arenot limited to, hormonal imbalance, hyperandrogenism, amenorrhea,acanthosis nigricans, acne, obesity, hirsutism, alopecia, and femaleinfertility.

As used herein, the term “administering” refers to oral administration(i.e. solid or liquid), administration as a suppository, topicalcontact, intravenous, parenteral, intraperitoneal, intramuscular,intralesional, intrathecal, intracranial, intranasal or subcutaneousadministration, or the implantation of a slow-release device, e.g., amini-osmotic pump, to a subject. Administration is by any route,including parenteral and transmucosal (e.g., buccal, sublingual,palatal, gingival, nasal, vaginal, rectal, or transdermal). Parenteraladministration includes, e.g., intravenous, intramuscular,intra-arteriole, intradermal, subcutaneous, intraperitoneal,intraventricular, and intracranial. Other modes of delivery include, butare not limited to, the use of liposomal formulations, intravenousinfusion, transdermal patches, etc. By “co-administer” it is meant thata composition described herein is administered at the same time, justprior to, or just after the administration of one or more additionaltherapies (e.g. cardiovascular therapies, diabetes therapies, cancertherapies or another complex described herein).

The compounds and complexes described herein can be used in combinationwith one another, with other active agents known to be useful intreating a disease (e.g. anti-cancer agents, anti-diabetes agents, orcardiovascular therapy agents) or with adjunctive agents that may not beeffective alone, but may contribute to the efficacy of the active agent.

In embodiments, co-administration includes administering one activeagent (e.g. a complex described herein) within 0.5, 1, 2, 4, 6, 8, 10,12, 16, 20, or 24 hours of a second active agent (e.g. anti-canceragents, anti-diabetes agents, or cardiovascular therapy agents). Alsocontemplated herein, are embodiments, where co-administration includesadministering one active agent (e.g. metformin) within 0.5, 1, 2, 4, 6,8, 10, 12, 16, 20, or 24 hours of a second active agent (e.g. TGR5ligand). Co-administration includes administering two active agentssimultaneously, approximately simultaneously (e.g., within about 1, 5,10, 15, 20, or 30 minutes of each other), or sequentially in any order.In embodiments, co-administration can be accomplished by co-formulation,i.e., preparing a single pharmaceutical composition including bothactive agents. In other embodiments, the active agents can be formulatedseparately. In embodiments, the active and/or adjunctive agents may belinked or conjugated to one another. In embodiments, the compounds andcomplexes described herein may be combined with treatments for cancersuch as chemotherapy or radiation therapy.

A “cardiovascular therapy agent” refers to a composition that treatscardiovascular disease or its associated disease. Exemplarycardiovascular therapy agents include, for example, AngiotensinConverting Enzyme Inhibitors (e.g. Enalipril, Lisinopril), AngiotensinReceptor Blockers (e.g. Losartan, Valsartan), Beta Blockers (e.g.Lopressor, TOPROL-XL®), Digoxin, Diuretics (e.g. LASIX®), orcombinations thereof. Likewise, a “blood pressure lowering agent” refersto compositions that treat high blood pressure. Exemplary blood pressurelowering agents include, for example, diuretics, beta blockers, ACEinhibitors, Angiotensin II receptor blockers, calcium channel blockers,alpha blockers, vasodilators, or a combination thereof.

An “anti-diabetes agent” refers to a composition that treats diabetes ora disease associated with diabetes. Exemplary anti-diabetes agentsinclude biguanides (e.g. metformin), thiazolidinediones (e.g.pioglitazone, rosiglitazone, troglitazone), sulfonylureas (e.g.tolbutamide, acetohexamide, chlorpropamide, glipizide, glyburide,glibenclamide), non-sulfonylurea secretagogues (e.g. meglitinides suchas repaglinide, nateglinide), alpha-glucosidase inhibitors (e.g.acarbose, miglitol, voglibose), incretin mimetics (e.g. exenatide,liraglutide, taspoglutide, lixisenatide), amylin analogues, glycosurics(e.g. canagliflozin, dapagliflozin), dipeptidyl peptidase-4 inhibitor(e.g. sitagliptin, saxagliptin, vildagliptin, linagliptin, allogliptin,septagliptin), or a meglitinide (e.g. repaglinide).

An “anti-PCOS agent” or “anti-polycystic ovary syndrome agent” refers toa composition that treats polycystic ovary syndrome or a diseaseassociated with polycystic ovary syndrome. Exemplary anti-PCOS agentsinclude spironolactone, finasteride, progesterone, medroxyprogesterone,estradiol (e.g. ethinyl estradiol), levonorgestrel, elfornithine,clomiphen, and gonadotropins (e.g. luteinizing hormone andfollicle-stimulating hormone).

An “anti-cancer agent” used in accordance with its plain ordinarymeaning and refers to a composition (e.g. a compound, polypeptide, aminoacid, polynucleotide, nucleic acid, or antibody) having antineoplasticproperties or the ability to inhibit the growth or proliferation ofcells. In some embodiments, an anti-cancer agent is a chemotherapeutic.In some embodiments, an anti-cancer agent is an agent identified hereinhaving utility in methods of treating cancer. In some embodiments, ananti-cancer agent is an agent approved by the FDA or similar regulatoryagency of a country other than the USA, for treating cancer. Anti-canceragents may be selective for certain cancers or certain tissues.

“Chemotherapeutic” or “chemotherapeutic agent” is used in accordancewith its plain ordinary meaning and refers to a chemical composition orcompound having antineoplastic properties or the ability to inhibit thegrowth or proliferation of cells.

Examples of anti-cancer agents include, but are not limited to, MEK(e.g. MEK1, MEK2, or MEK1 and MEK2) inhibitors (e.g. XL518, CI-1040,PD035901, selumetinib/AZD6244, GSK1120212/trametinib, GDC-0973,ARRY-162, ARRY-300, AZD8330, PD0325901, U0126, PD98059, TAK-733,PD318088, AS703026, BAY 869766), alkylating agents (e.g.,cyclophosphamide, ifosfamide, chlorambucil, busulfan, melphalan,mechlorethamine, uramustine, thiotepa, nitrosoureas, nitrogen mustards(e.g., mechloroethamine, cyclophosphamide, chlorambucil, meiphalan),ethylenimine and methylmelamines (e.g., hexamethlymelamine, thiotepa),alkyl sulfonates (e.g., busulfan), nitrosoureas (e.g., carmustine,lomusitne, semustine, streptozocin), triazenes (decarbazine)),anti-metabolites (e.g., 5-azathioprine, leucovorin, capecitabine,fludarabine, gemcitabine, pemetrexed, raltitrexed, folic acid analog(e.g., methotrexate), or pyrimidine analogs (e.g., fluorouracil,floxouridine, Cytarabine), purine analogs (e.g., mercaptopurine,thioguanine, pentostatin), etc.), plant alkaloids (e.g., vincristine,vinblastine, vinorelbine, vindesine, podophyllotoxin, paclitaxel,docetaxel, etc.), topoisomerase inhibitors (e.g., irinotecan, topotecan,amsacrine, etoposide (VP16), etoposide phosphate, teniposide, etc.),antitumor antibiotics (e.g., doxorubicin, adriamycin, daunorubicin,epirubicin, actinomycin, bleomycin, mitomycin, mitoxantrone, plicamycin,etc.), platinum-based compounds (e.g. cisplatin, oxaloplatin,carboplatin), anthracenedione (e.g., mitoxantrone), substituted urea(e.g., hydroxyurea), methyl hydrazine derivative (e.g., procarbazine),adrenocortical suppressant (e.g., mitotane, aminoglutethimide),epipodophyllotoxins (e.g., etoposide), antibiotics (e.g., daunorubicin,doxorubicin, bleomycin), enzymes (e.g., L-asparaginase), inhibitors ofmitogen-activated protein kinase signaling (e.g. U0126, PD98059,PD184352, PD0325901, ARRY-142886, SB239063, SP600125, BAY 43-9006,wortmannin, or LY294002, Syk inhibitors, mTOR inhibitors, antibodies(e.g., rituxan), gossyphol, genasense, polyphenol E, Chlorofusin, alltrans-retinoic acid (ATRA), bryostatin, tumor necrosis factor-relatedapoptosis-inducing ligand (TRAIL), 5-aza-2′-deoxycytidine, all transretinoic acid, doxorubicin, vincristine, etoposide, gemcitabine,imatinib (GLEEVEC®), geldanamycin,17-N-Allylamino-17-Demethoxygeldanamycin (17-AAG), flavopiridol,LY294002, bortezomib, trastuzumab, BAY 11-7082, PKC412, PD184352,20-epi-1, 25 dihydroxyvitamin D3; 5-ethynyluracil; abiraterone;aclarubicin; acylfulvene; adecypenol; adozelesin; aldesleukin; ALL-TKantagonists; altretamine; ambamustine; amidox; amifostine;aminolevulinic acid; amrubicin; amsacrine; anagrelide; anastrozole;andrographolide; angiogenesis inhibitors; antagonist D; antagonist G;antarelix; anti-dorsalizing morphogenetic protein-1; antiandrogen,prostatic carcinoma; antiestrogen; antineoplaston; antisenseoligonucleotides; aphidicolin glycinate; apoptosis gene modulators;apoptosis regulators; apurinic acid; ara-CDP-DL-PTBA; argininedeaminase; asulacrine; atamestane; atrimustine; axinastatin 1;axinastatin 2; axinastatin 3; azasetron; azatoxin; azatyrosine; baccatinIII derivatives; balanol; batimastat; BCR/ABL antagonists;benzochlorins; benzoylstaurosporine; beta lactam derivatives;beta-alethine; betaclamycin B; betulinic acid; bFGF inhibitor;bicalutamide; bisantrene; bisaziridinylspermine; bisnafide; bistrateneA; bizelesin; breflate; bropirimine; budotitane; buthionine sulfoximine;calcipotriol; calphostin C; camptothecin derivatives; canarypox IL-2;capecitabine; carboxamide-amino-triazole; carboxyamidotriazole; CaRestM3; CARN 700; cartilage derived inhibitor; carzelesin; casein kinaseinhibitors (ICOS); castanospermine; cecropin B; cetrorelix; chlorins;chloroquinoxaline sulfonamide; cicaprost; cis-porphyrin; cladribine;clomifene analogues; clotrimazole; collismycin A; collismycin B;combretastatin A4; combretastatin analogue; conagenin; crambescidin 816;crisnatol; cryptophycin 8; cryptophycin A derivatives; curacin A;cyclopentanthraquinones; cycloplatam; cypemycin; cytarabine ocfosfate;cytolytic factor; cytostatin; dacliximab; decitabine; dehydrodidemnin B;deslorelin; dexamethasone; dexifosfamide; dexrazoxane; dexverapamil;diaziquone; didemnin B; didox; diethylnorspermine;dihydro-5-azacytidine; 9-dioxamycin; diphenyl spiromustine; docosanol;dolasetron; doxifluridine; droloxifene; dronabinol; duocarmycin SA;ebselen; ecomustine; edelfosine; edrecolomab; eflornithine; elemene;emitefur; epirubicin; epristeride; estramustine analogue; estrogenagonists; estrogen antagonists; etanidazole; etoposide phosphate;exemestane; fadrozole; fazarabine; fenretinide; filgrastim; finasteride;flavopiridol; flezelastine; fluasterone; fludarabine; fluorodaunorunicinhydrochloride; forfenimex; formestane; fostriecin; fotemustine;gadolinium texaphyrin; gallium nitrate; galocitabine; ganirelix;gelatinase inhibitors; gemcitabine; glutathione inhibitors; hepsulfam;heregulin; hexamethylene bisacetamide; hypericin; ibandronic acid;idarubicin; idoxifene; idramantone; ilmofosine; ilomastat;imidazoacridones; imiquimod; immunostimulant peptides; insulin-likegrowth factor-1 receptor inhibitor; interferon agonists; interferons;interleukins; iobenguane; iododoxorubicin; ipomeanol, 4-; iroplact;irsogladine; isobengazole; isohomohalicondrin B; itasetron;jasplakinolide; kahalalide F; lamellarin-N triacetate; lanreotide;leinamycin; lenograstim; lentinan sulfate; leptolstatin; letrozole;leukemia inhibiting factor; leukocyte alpha interferon;leuprolide+estrogen+progesterone; leuprorelin; levamisole; liarozole;linear polyamine analogue; lipophilic disaccharide peptide; lipophilicplatinum compounds; lissoclinamide 7; lobaplatin; lombricine;lometrexol; lonidamine; losoxantrone; lovastatin; loxoribine;lurtotecan; lutetium texaphyrin; lysofylline; lytic peptides;maitansine; mannostatin A; marimastat; masoprocol; maspin; matrilysininhibitors; matrix metalloproteinase inhibitors; menogaril; merbarone;meterelin; methioninase; metoclopramide; MIF inhibitor; mifepristone;miltefosine; mirimostim; mismatched double stranded RNA; mitoguazone;mitolactol; mitomycin analogues; mitonafide; mitotoxin fibroblast growthfactor-saporin; mitoxantrone; mofarotene; molgramostim; monoclonalantibody, human chorionic gonadotrophin; monophosphoryl lipidA+myobacterium cell wall sk; mopidamol; multiple drug resistance geneinhibitor; multiple tumor suppressor 1-based therapy; mustard anticanceragent; mycaperoxide B; mycobacterial cell wall extract; myriaporone;N-acetyldinaline; N-substituted benzamides; nafarelin; nagrestip;naloxone+pentazocine; napavin; naphterpin; nartograstim; nedaplatin;nemorubicin; neridronic acid; neutral endopeptidase; nilutamide;nisamycin; nitric oxide modulators; nitroxide antioxidant; nitrullyn;O6-benzylguanine; octreotide; okicenone; oligonucleotides; onapristone;ondansetron; ondansetron; oracin; oral cytokine inducer; ormaplatin;osaterone; oxaliplatin; oxaunomycin; palauamine; palmitoylrhizoxin;pamidronic acid; panaxytriol; panomifene; parabactin; pazelliptine;pegaspargase; peldesine; pentosan polysulfate sodium; pentostatin;pentrozole; perflubron; perfosfamide; perillyl alcohol; phenazinomycin;phenylacetate; phosphatase inhibitors; picibanil; pilocarpinehydrochloride; pirarubicin; piritrexim; placetin A; placetin B;plasminogen activator inhibitor; platinum complex; platinum compounds;platinum-triamine complex; porfimer sodium; porfiromycin; prednisone;propyl bis-acridone; prostaglandin J2; proteasome inhibitors; proteinA-based immune modulator; protein kinase C inhibitor; protein kinase Cinhibitors, microalgal; protein tyrosine phosphatase inhibitors; purinenucleoside phosphorylase inhibitors; purpurins; pyrazoloacridine;pyridoxylated hemoglobin polyoxyethylerie conjugate; raf antagonists;raltitrexed; ramosetron; ras farnesyl protein transferase inhibitors;ras inhibitors; ras-GAP inhibitor; retelliptine demethylated; rhenium Re186 etidronate; rhizoxin; ribozymes; RII retinamide; rogletimide;rohitukine; romurtide; roquinimex; rubiginone BI; ruboxyl; safingol;saintopin; SarCNU; sarcophytol A; sargramostim; Sdi 1 mimetics;semustine; senescence derived inhibitor 1; sense oligonucleotides;signal transduction inhibitors; signal transduction modulators; singlechain antigen-binding protein; sizofuran; sobuzoxane; sodiumborocaptate; sodium phenylacetate; solverol; somatomedin bindingprotein; sonermin; sparfosic acid; spicamycin D; spiromustine;splenopentin; spongistatin 1; squalamine; stem cell inhibitor; stem-celldivision inhibitors; stipiamide; stromelysin inhibitors; sulfinosine;superactive vasoactive intestinal peptide antagonist; suradista;suramin; swainsonine; synthetic glycosaminoglycans; tallimustine;tamoxifen methiodide; tauromustine; tazarotene; tecogalan sodium;tegafur; tellurapyrylium; telomerase inhibitors; temoporfin;temozolomide; teniposide; tetrachlorodecaoxide; tetrazomine;thaliblastine; thiocoraline; thrombopoietin; thrombopoietin mimetic;thymalfasin; thymopoietin receptor agonist; thymotrinan; thyroidstimulating hormone; tin ethyl etiopurpurin; tirapazamine; titanocenebichloride; topsentin; toremifene; totipotent stem cell factor;translation inhibitors; tretinoin; triacetyluridine; triciribine;trimetrexate; triptorelin; tropisetron; turosteride; tyrosine kinaseinhibitors; tyrphostins; UBC inhibitors; ubenimex; urogenitalsinus-derived growth inhibitory factor; urokinase receptor antagonists;vapreotide; variolin B; vector system, erythrocyte gene therapy;velaresol; veramine; verdins; verteporfin; vinorelbine; vinxaltine;vitaxin; vorozole; zanoterone; zeniplatin; zilascorb; zinostatinstimalamer, Adriamycin, Dactinomycin, Bleomycin, Vinblastine, Cisplatin,acivicin; aclarubicin; acodazole hydrochloride; acronine; adozelesin;aldesleukin; altretamine; ambomycin; ametantrone acetate;aminoglutethimide; amsacrine; anastrozole; anthramycin; asparaginase;asperlin; azacitidine; azetepa; azotomycin; batimastat; benzodepa;bicalutamide; bisantrene hydrochloride; bisnafide dimesylate; bizelesin;bleomycin sulfate; brequinar sodium; bropirimine; busulfan;cactinomycin; calusterone; caracemide; carbetimer; carboplatin;carmustine; carubicin hydrochloride; carzelesin; cedefingol;chlorambucil; cirolemycin; cladribine; crisnatol mesylate;cyclophosphamide; cytarabine; dacarbazine; daunorubicin hydrochloride;decitabine; dexormaplatin; dezaguanine; dezaguanine mesylate;diaziquone; doxorubicin; doxorubicin hydrochloride; droloxifene;droloxifene citrate; dromostanolone propionate; duazomycin; edatrexate;eflornithine hydrochloride; elsamitrucin; enloplatin; enpromate;epipropidine; epirubicin hydrochloride; erbulozole; esorubicinhydrochloride; estramustine; estramustine phosphate sodium; etanidazole;etoposide; etoposide phosphate; etoprine; fadrozole hydrochloride;fazarabine; fenretinide; floxuridine; fludarabine phosphate;fluorouracil; fluorocitabine; fosquidone; fostriecin sodium;gemcitabine; gemcitabine hydrochloride; hydroxyurea; idarubicinhydrochloride; ifosfamide; iimofosine; interleukin II (includingrecombinant interleukin II, or rlL.sub.2), interferon alfa-2a;interferon alfa-2b; interferon alfa-n1; interferon alfa-n3; interferonbeta-la; interferon gamma-1b; iproplatin; irinotecan hydrochloride;lanreotide acetate; letrozole; leuprolide acetate; liarozolehydrochloride; lometrexol sodium; lomustine; losoxantrone hydrochloride;masoprocol; maytansine; mechlorethamine hydrochloride; megestrolacetate; melengestrol acetate; melphalan; menogaril; mercaptopurine;methotrexate; methotrexate sodium; metoprine; meturedepa; mitindomide;mitocarcin; mitocromin; mitogillin; mitomalcin; mitomycin; mitosper;mitotane; mitoxantrone hydrochloride; mycophenolic acid; nocodazoie;nogalamycin; ormaplatin; oxisuran; pegaspargase; peliomycin;pentamustine; peplomycin sulfate; perfosfamide; pipobroman; piposulfan;piroxantrone hydrochloride; plicamycin; plomestane; porfimer sodium;porfiromycin; prednimustine; procarbazine hydrochloride; puromycin;puromycin hydrochloride; pyrazofurin; riboprine; rogletimide; safingol;safingol hydrochloride; semustine; simtrazene; sparfosate sodium;sparsomycin; spirogermanium hydrochloride; spiromustine; spiroplatin;streptonigrin; streptozocin; sulofenur; talisomycin; tecogalan sodium;tegafur; teloxantrone hydrochloride; temoporfin; teniposide; teroxirone;testolactone; thiamiprine; thioguanine; thiotepa; tiazofurin;tirapazamine; toremifene citrate; trestolone acetate; triciribinephosphate; trimetrexate; trimetrexate glucuronate; triptorelin;tubulozole hydrochloride; uracil mustard; uredepa; vapreotide;verteporfin; vinblastine sulfate; vincristine sulfate; vindesine;vindesine sulfate; vinepidine sulfate; vinglycinate sulfate;vinleurosine sulfate; vinorelbine tartrate; vinrosidine sulfate;vinzolidine sulfate; vorozole; zeniplatin; zinostatin; zorubicinhydrochloride, agents that arrest cells in the G2-M phases and/ormodulate the formation or stability of microtubules, (e.g. Taxol™ (i.e.paclitaxel), Taxotere™, compounds comprising the taxane skeleton,Erbulozole (i.e. R-55104), Dolastatin 10 (i.e. DLS-10 and NSC-376128),Mivobulin isethionate (i.e. as CI-980), Vincristine, NSC-639829,Discodermolide (i.e. as NVP-XX-A-296), ABT-751 (Abbott, i.e. E-7010),Altorhyrtins (e.g. Altorhyrtin A and Altorhyrtin C), Spongistatins (e.g.Spongistatin 1, Spongistatin 2, Spongistatin 3, Spongistatin 4,Spongistatin 5, Spongistatin 6, Spongistatin 7, Spongistatin 8, andSpongistatin 9), Cemadotin hydrochloride (i.e. LU-103793 andNSC-D-669356), Epothilones (e.g. Epothilone A, Epothilone B, EpothiloneC (i.e. desoxyepothilone A or dEpoA), Epothilone D (i.e. KOS-862, dEpoB,and desoxyepothilone B), Epothilone E, Epothilone F, Epothilone BN-oxide, Epothilone A N-oxide, 16-aza-epothilone B, 21-aminoepothilone B(i.e. BMS-310705), 21-hydroxyepothilone D (i.e. Desoxyepothilone F anddEpoF), 26-fluoroepothilone, Auristatin PE (i.e. NSC-654663), Soblidotin(i.e. TZT-1027), LS-4559-P (Pharmacia, i.e. LS-4577), LS-4578(Pharmacia, i.e. LS-477-P), LS-4477 (Pharmacia), LS-4559 (Pharmacia),RPR-112378 (Aventis), Vincristine sulfate, DZ-3358 (Daiichi), FR-182877(Fujisawa, i.e. WS-9885B), GS-164 (Takeda), GS-198 (Takeda), KAR-2(Hungarian Academy of Sciences), BSF-223651 (BASF, i.e. ILX-651 andLU-223651), SAH-49960 (Lilly/Novartis), SDZ-268970 (Lilly/Novartis),AM-97 (Armad/Kyowa Hakko), AM-132 (Armad), AM-138 (Armad/Kyowa Hakko),IDN-5005 (Indena), Cryptophycin 52 (i.e. LY-355703), AC-7739 (Ajinomoto,i.e. AVE-8063A and CS-39.HCl), AC-7700 (Ajinomoto, i.e. AVE-8062,AVE-8062A, CS-39-L-Ser.HCl, and RPR-258062A), Vitilevuamide, TubulysinA, Canadensol, Centaureidin (i.e. NSC-106969), T-138067 (Tularik, i.e.T-67, TL-138067 and TI-138067), COBRA-1 (Parker Hughes Institute, i.e.DDE-261 and WHI-261), H10 (Kansas State University), H16 (Kansas StateUniversity), Oncocidin A1 (i.e. BTO-956 and DIME), DDE-313 (ParkerHughes Institute), Fijianolide B, Laulimalide, SPA-2 (Parker HughesInstitute), SPA-1 (Parker Hughes Institute, i.e. SPIKET-P), 3-IAABU(Cytoskeleton/Mt. Sinai School of Medicine, i.e. MF-569), Narcosine(also known as NSC-5366), Nascapine, D-24851 (Asta Medica), A-105972(Abbott), Hemiasterlin, 3-BAABU (Cytoskeleton/Mt. Sinai School ofMedicine, i.e. MF-191), TMPN (Arizona State University), Vanadoceneacetylacetonate, T-138026 (Tularik), Monsatrol, lnanocine (i.e.NSC-698666), 3-IAABE (Cytoskeleton/Mt. Sinai School of Medicine),A-204197 (Abbott), T-607 (Tuiarik, i.e. T-900607), RPR-115781 (Aventis),Eleutherobins (such as Desmethyleleutherobin, Desaetyleleutherobin,lsoeleutherobin A, and Z-Eleutherobin), Caribaeoside, Caribaeolin,Halichondrin B, D-64131 (Asta Medica), D-68144 (Asta Medica),Diazonamide A, A-293620 (Abbott), NPI-2350 (Nereus), Taccalonolide A,TUB-245 (Aventis), A-259754 (Abbott), Diozostatin, (−)-Phenylahistin(i.e. NSCL-96F037), D-68838 (Asta Medica), D-68836 (Asta Medica),Myoseverin B, D-43411 (Zentaris, i.e. D-81862), A-289099 (Abbott),A-318315 (Abbott), HTI-286 (i.e. SPA-110, trifluoroacetate salt)(Wyeth), D-82317 (Zentaris), D-82318 (Zentaris), SC-12983 (NCI),Resverastatin phosphate sodium, BPR-OY-007 (National Health ResearchInstitutes), and SSR-250411 (Sanofi)), steroids (e.g., dexamethasone),finasteride, aromatase inhibitors, gonadotropin-releasing hormoneagonists (GnRH) such as goserelin or leuprolide, adrenocorticosteroids(e.g., prednisone), progestins (e.g., hydroxyprogesterone caproate,megestrol acetate, medroxyprogesterone acetate), estrogens (e.g.,diethlystilbestrol, ethinyl estradiol), antiestrogen (e.g., tamoxifen),androgens (e.g., testosterone propionate, fluoxymesterone), antiandrogen(e.g., flutamide), immunostimulants (e.g., Bacillus Calmette-Guérin(BCG), levamisole, interleukin-2, alpha-interferon, etc.), monoclonalantibodies (e.g., anti-CD20, anti-HER2, anti-CD52, anti-HLA-DR, andanti-VEGF monoclonal antibodies), immunotoxins (e.g., anti-CD33monoclonal antibody-calicheamicin conjugate, anti-CD22 monoclonalantibody-pseudomonas exotoxin conjugate, etc.), radioimmunotherapy(e.g., anti-CD20 monoclonal antibody conjugated to ¹¹¹In, ⁹⁰Y, or ¹³¹I,etc.), triptolide, homoharringtonine, dactinomycin, doxorubicin,epirubicin, topotecan, itraconazole, vindesine, cerivastatin,vincristine, deoxyadenosine, sertraline, pitavastatin, irinotecan,clofazimine, 5-nonyloxytryptamine, vemurafenib, dabrafenib, erlotinib,gefitinib, EGFR inhibitors, epidermal growth factor receptor(EGFR)-targeted therapy or therapeutic (e.g. gefitinib (IRESSA™),erlotinib (TARCEVA™), cetuximab (ERBITUX™), lapatinib (TYKERB™),panitumumab (VECTIBIX™), vandetanib (CAPRELSA™), afatinib/BIBW2992,CI-1033/canertinib, neratinib/HKI-272, CP-724714, TAK-285, AST-1306,ARRY334543, ARRY-380, AG-1478, dacomitinib/PF299804, OSI-420/desmethylerlotinib, AZD8931, AEE788, pelitinib/EKB-569, CUDC-101, WZ8040, WZ4002,WZ3146, AG-490, XL647, PD153035, BMS-599626), sorafenib, imatinib,sunitinib, dasatinib, or the like.

An “effective amount” is an amount sufficient to accomplish a statedpurpose (e.g. achieve the effect for which it is administered, treat adisease, reduce enzyme activity, increase enzyme activity, reduce one ormore symptoms of a disease or condition). An example of an “effectiveamount” is an amount sufficient to contribute to the treatment,prevention, or reduction of a symptom or symptoms of a disease, whichcould also be referred to as a “therapeutically effective amount.” A“reduction” of a symptom or symptoms (and grammatical equivalents ofthis phrase) means decreasing of the severity or frequency of thesymptom(s), or elimination of the symptom(s). A “prophylacticallyeffective amount” of a drug is an amount of a drug that, whenadministered to a subject, will have the intended prophylactic effect,e.g., preventing or delaying the onset (or reoccurrence) of an injury,disease, pathology or condition, or reducing the likelihood of the onset(or reoccurrence) of an injury, disease, pathology, or condition, ortheir symptoms. The full prophylactic effect does not necessarily occurby administration of one dose, and may occur only after administrationof a series of doses. Thus, a prophylactically effective amount may beadministered in one or more administrations. The exact amounts willdepend on the purpose of the treatment, and will be ascertainable by oneskilled in the art using known techniques (see, e.g., Lieberman,Pharmaceutical Dosage Forms (vols. 1-3, 1992); Lloyd, The Art, Scienceand Technology of Pharmaceutical Compounding (1999); Pickar, DosageCalculations (1999); and Remington: The Science and Practice ofPharmacy, 20th Edition, 2003, Gennaro, Ed., Lippincott, Williams &Wilkins).

“Pharmaceutically acceptable excipient” and “pharmaceutically acceptablecarrier” refer to a substance that aids the administration of an activeagent to and absorption by a subject and can be included in thecompositions of the present invention without causing a significantadverse toxicological effect on the patient. Non-limiting examples ofpharmaceutically acceptable excipients include water, NaCl, normalsaline solutions, lactated Ringer's, normal sucrose, normal glucose,binders, fillers, disintegrants, lubricants, coatings, sweeteners,flavors, salt solutions (such as Ringer's solution), alcohols, oils,gelatins, carbohydrates such as lactose, amylose or starch, fatty acidesters, hydroxymethycellulose, polyvinyl pyrrolidine, and colors, andthe like. Such preparations can be sterilized and, if desired, mixedwith auxiliary agents such as lubricants, preservatives, stabilizers,wetting agents, emulsifiers, salts for influencing osmotic pressure,buffers, coloring, and/or aromatic substances and the like that do notdeleteriously react with the compounds of the invention. One of skill inthe art will recognize that other pharmaceutical excipients are usefulin the present invention.

The term “preparation” is intended to include the formulation of theactive compound with encapsulating material as a carrier providing acapsule in which the active component with or without other carriers, issurrounded by a carrier, which is thus in association with it.Similarly, cachets and lozenges are included. Tablets, powders,capsules, pills, cachets, and lozenges can be used as solid dosage formssuitable for oral administration.

“Control” or “control experiment” is used in accordance with its plainordinary meaning and refers to an experiment in which the subjects orreagents of the experiment are treated as in a parallel experimentexcept for omission of a procedure, reagent, or variable of theexperiment. In some instances, the control is used as a standard ofcomparison in evaluating experimental effects.

“Contacting” is used in accordance with its plain ordinary meaning andrefers to the process of allowing at least two distinct species (e.g.chemical compounds including biomolecules, or cells) to becomesufficiently proximal to react, interact or physically touch. It shouldbe appreciated, however, that the resulting reaction product can beproduced directly from a reaction between the added reagents or from anintermediate from one or more of the added reagents which can beproduced in the reaction mixture. In embodiments contacting includesallowing a compound described herein to interact with a protein orenzyme that is involved in a signaling pathway.

As defined herein, the term “inhibition”, “inhibit”, “inhibiting” andthe like in reference to a protein-inhibitor interaction meansnegatively affecting (e.g. decreasing) the activity or function of theprotein relative to the activity or function of the protein in theabsence of the inhibitor. In some embodiments inhibition refers toreduction of a disease or symptoms of disease. In some embodiments,inhibition refers to a reduction in the activity of a particular proteinor nucleic acid target. Thus, inhibition includes, at least in part,partially or totally blocking stimulation, decreasing, preventing, ordelaying activation, or inactivating, desensitizing, or down-regulatingsignal transduction or enzymatic activity or the amount of a protein.

As defined herein, the term “activation”, “activate”, “activating” andthe like in reference to a protein-activator (e.g. agonist) interactionmeans positively affecting (e.g. increasing) the activity or function ofthe protein relative to the activity or function of the protein in theabsence of the activator. In embodiments, activation refers to anincrease in the activity of a signal transduction pathway or signalingpathway. Thus, activation may include, at least in part, partially ortotally increasing stimulation, increasing or enabling activation, oractivating, sensitizing, or up-regulating signal transduction orenzymatic activity or the amount of a protein.

The term “modulator” refers to a composition that increases or decreasesthe level of a target molecule or the function of a target molecule orthe physical state of the target of the molecule.

The term “modulate” is used in accordance with its plain ordinarymeaning and refers to the act of changing or varying one or moreproperties. “Modulation” refers to the process of changing or varyingone or more properties. For example, as applied to the effects of amodulator on a target protein, to modulate means to change by increasingor decreasing a property or function of the target molecule or theamount of the target molecule.

The term “signaling pathway” as used herein refers to a series ofinteractions between cellular and optionally extra-cellular components(e.g. proteins, nucleic acids, small molecules, ions, lipids) thatconveys a change in one component to one or more other components, whichin turn may convey a change to additional components, which isoptionally propagated to other signaling pathway components.

“Selective” or “selectivity” or the like of a compound refers to thecompound's ability to discriminate between molecular targets.“Specific”, “specifically”, “specificity”, or the like of a compoundrefers to the compound's ability to cause a particular action, such asactivation, to a particular molecular target with minimal or no actionto other proteins in the cell.

The terms “synergy”, “synergism”, “synergistic”, “combined synergisticamount”, and “synergistic therapeutic effect” are used hereininterchangeably and refer to a measured effect of compounds administeredin combination where the measured effect is greater than the sum of theindividual effects of each of the compounds administered alone as asingle agent.

A “TGR5 ligand” refers to a composition (e.g. compound, amino acid,peptide, polypeptide, antibody, nucleic acid, polynucleotide) whichselectively binds to TGR5 (“Takeda G-protein-coupled receptor 5”). ATGR5 ligand may be a “natural product TGR5 agonist”. The term “naturalproduct TGR5 agonist” refers to physiological ligands of TGR5 which bindto, and activate TGR5. The term encompasses TGR5 ligands such as bileacids (e.g. CA, LCA, DCA, CDCA, and UDCA) as well as derivatives of bileacids which are naturally synthesized by a host organism. Naturalproduct TGR5 agonists also include triterpenoids which bind to andactivate TGR5.

The terms “cholic acid” or “CA,” “deoxycholic acid” or “DCA,”“lithocholic acid” or “LCA,” “ursodeoxycholic acid” or “UDCA,” and“chenodeoxycholic acid” or “CDCA” refer to natural product TGR5 agonistbile acids having the respective formulae:

I. COMPOSITIONS AND COMPLEXES

The complexes described herein may be useful for treating diabetes andits associated diseases, polycystic ovary syndrome, cardiovasculardisease, and cancer. Accordingly, in one aspect is a complex thatincludes a metformin or metformin analogue non-covalently bound to aTGR5 ligand.

In another aspect is a complex between a metformin or metformin analogueand a TGR5 ligand, wherein the TGR5 ligand is non-covalently bound tothe metformin or metformin analogue. In yet another aspect is a complexconsisting of a metformin or metformin analogue non-covalently bound toa TGR5 ligand. The non-covalent bond may be an ionic bond. Thus, inembodiments, the non-covalent bond between the metformin or metforminanalogue and the TGR5 ligand is an ionic bond and forms a salt (i.e. asalt complex). The complex may include a metformin or metformin analoguenon-covalently bound to a TGR5 ligand, where the metformin or metforminanalogue acts as a proton acceptor and the TGR5 ligand acts as a protondonor, thereby forming a salt (i.e. a salt complex). In embodiments, thereaction of metformin or metformin analogue with anionic TGR5 ligandsdescribed herein results in the formation metformin-based TGR5 ligandcomplexes (e.g. a salt) indicating the participation of both metforminand TGR5 ligands as complexing ligands. In embodiments, the ionic bondis stabilized by intramolecular hydrogen bonds. The non-covalent bondmay be a hydrogen bond or a series of hydrogen bonds between themetformin or metformin analogue and the TGR5 ligand. In embodiments, thehydrogen bond or series of hydrogen bonds are part of a hydrogen bondnetwork between the metformin or metformin analogue and the TGR5 ligand.In embodiments, the hydrogen bond is representative of FIG. 13.

In embodiments, the complexes described herein include about a 1:1 molarratio of the metformin or metformin analogue to the TGR5 ligand. Thecomplexes described herein may be include a 1:1 molar ratio of themetformin or metformin analogue and the TGR5 ligand.

Metformin (N,N-dimethylbiguanidine), Formula (I), is a potentanti-diabetic agent often used as a first-line treatment for patientswith type II diabetes. Metformin may be administered in treatingoverweight and obese patients. Oral absorption of metformin is variableand incomplete with tested oral bioavailability of about 50-60% underfasting conditions. Metformin is known to be slowly absorbed with peakplasma concentrations (C_(max)) reached within one to three hours oftaking an immediate-release metformin formulation. Metformin may notmetabolized. The average elimination half-life in plasma is 6.2 hours.

As set forth herein, the term “metformin analogue” refers to compoundshaving structural similarity to metformin which retain at least 10, 20,30, 40, 50, 60, 70, 80, 85, 90, 95, 96, 97, 98, 99, or 100% of theactivity of metformin. In embodiments, a metformin analogue may be morepotent than metformin (i.e. have greater effect than metformin).Metformin analogues useful in the present invention include thoseanalogues described by, for example: U.S. Pat. Appl. No. 20110021634;U.S. Pat. Appl. No. 20110171142; U.S. Pat. No. 6,031,004; U.S. Pat. No.6,676,966; U.S. Pat. Appl. No. 20110257432; U.S. Pat. Appl. No.20120220664; U.S. Pat. No. 5,955,106; U.S. Pat. Appl. No. 20050182029;WO 2004110422; U.S. Pat. Appl. No. 20120219623; W.O. Pat. Appl. No.2013188452; U.S. Pat. No. 6,031,004; C.N. Pat. Appl. 10 No. 101691344;W.O. Pat. Appl. No. 2002012177; and U.S. Pat. No. 4,080,472.

The TGR5 ligand may be a natural product TGR5 agonist or a syntheticTGR5 agonist derivative. The natural product TGR5 agonist may be anatural triterpenoid TGR5 agonist or a natural product bile acid. Inembodiments, the natural product TGR5 agonist is a naturally occurringanalogue of the natural product TGR5 agonist. The synthetic TGR5 agonistderivative may be a synthetic TGR5 triterpenoid agonist derivative or asynthetic bile acid derivative.

In embodiments, the TGR5 ligand is a natural product bile acid or asynthetic bile acid derivative. The TGR5 ligand may be a natural productbile acid. The natural product bile acid may be cholic acid (CA),lithocholic acid (LCA), chenodeoxycholic acid (CDCA), ursodeoxycholicacid (UDCA), deoxycholic acid (DCA), or a natural analogue thereof. Inembodiments, the natural analogue is, for example, muro-CA (muricholicacid α, β, γ, ω forms), tauro-CA, glyco-CA, hyo-DCA, lago-DCA, nor-DCA,HDCA, tauro-HDCA, glyco-HDCA, tauro-CDCA, glyco-CDCA, homo-UDCA,iso-UDCA, tauro-UDCA, glyco-UDCA, iso-LCA, tauro-LCA, or glyco-LCA.

The TGR5 ligand may be a synthetic bile acid derivative. Thesynthetic_bile acid derivative may have the formula:

In formula (II), L¹ is a bond, substituted or unsubstituted alkylene, orsubstituted or unsubstituted heteroalkylene. X¹ is C(O) or C(R¹)(R²) andX² is C(O) or C(R³)(R⁴). X³ is —C(O)NH-L²-R¹², —C(O)O-L²-R¹²,—C(O)-L²-R¹², —S(O)n-L²-R¹², —S(OR¹³)(OR¹⁴)O-L²-R², or a first acidmoiety. The symbol n1 is 1, 2, or 3. L² is independently a bond,substituted or unsubstituted alkylene, substituted or unsubstitutedheteroalkylene. R¹, R², R³, R⁴ and R¹¹ are independently hydrogen,unsubstituted alkyl, or —OR¹³. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ areindependently hydrogen, halogen, —N₃, —CF₃, —CCl₃, —CBr₃, —CI₃, —CN,—CHO, —OR¹³, —NR¹³R¹⁴, —CONR¹³R¹⁴, —NO₂, —SR¹³, —SO_(n3)R¹³,—SO_(n3)OR¹³, —SO_(n3)NR¹³R¹⁴, —NHNR¹³R¹⁴, —ONR¹³R¹⁴, —NHC(O)NHNR¹³R¹⁴,substituted or unsubstituted alkyl, substituted or unsubstitutedheteroalkyl, substituted or unsubstituted cycloalkyl, substituted orunsubstituted heterocycloalkyl, substituted or unsubstituted aryl, orsubstituted or unsubstituted heteroaryl. The symbol n3 is 1 or 2. Thesymbol z5 is 1, 2, 3, 4, 5, or 6. The symbols z6 and z8 areindependently 1, 2, 3, 4, 5, 6, 7, or 8. The symbol z7 is 1, 2, 3, 4, 5,6, or 7. R¹² is an second acid moiety. R¹³ and R¹⁴ are independently areindependently hydrogen, substituted or unsubstituted alkyl, substitutedor unsubstituted heteroalkyl, substituted or unsubstituted cycloalkyl,substituted or unsubstituted heterocycloalkyl, substituted orunsubstituted aryl, or substituted or unsubstituted heteroaryl.

L¹ may be a bond or substituted or unsubstituted alkylene. L¹ may be abond or substituted or unsubstituted heteroalkylene. L¹ may besubstituted or unsubstituted alkylene or substituted or unsubstitutedheteroalkylene. L¹ may be a bond. In embodiments, L¹ is substituted orunsubstituted alkylene. In embodiments, L¹ is R²³-substituted orunsubstituted alkylene. L¹ may be unsubstituted alkylene. L¹ may besubstituted or unsubstituted C₁-C₂₀ alkylene. L¹ may be R²³-substitutedor unsubstituted C₁-C₂₀ alkylene. L¹ may be unsubstituted C₁-C₂₀alkylene. L¹ may be substituted or unsubstituted C₁-C₁₀ alkylene. L¹ maybe R²³-substituted or unsubstituted C₁-C₁₀ alkylene. L¹ may beunsubstituted C₁-C₁₀ alkylene. L¹ may be substituted or unsubstitutedC₁-C₅ alkylene. L¹ may be R²³-substituted or unsubstituted C₁-C₅alkylene. L¹ may be unsubstituted C₁-C₅ alkylene. L¹ may be substitutedor unsubstituted heteroalkylene. L¹ may be R²³-substituted orunsubstituted heteroalkylene. L¹ may be unsubstituted heteroalkylene. L¹may be substituted or unsubstituted 2 to 20 membered heteroalkylene. L¹may be R²³-substituted or unsubstituted 2 to 20 membered heteroalkylene.L¹ may be unsubstituted 2 to 20 membered heteroalkylene. L¹ may besubstituted or unsubstituted 2 to 10 membered heteroalkylene. L¹ may beR²³-substituted or unsubstituted 2 to 10 membered heteroalkylene. L¹ maybe unsubstituted 2 to 10 membered heteroalkylene. L¹ may be substitutedor unsubstituted 2 to 6 membered heteroalkylene. L¹ may beR²³-substituted or unsubstituted 2 to 6 membered heteroalkylene. L¹ maybe unsubstituted 2 to 6 membered heteroalkylene.

R²³ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,R²⁴-substituted or unsubstituted alkyl, R²⁴-substituted or unsubstitutedheteroalkyl, R²⁴-substituted or unsubstituted cycloalkyl,R²⁴-substituted or unsubstituted heterocycloalkyl, R²⁴-substituted orunsubstituted aryl, or R²⁴ substituted or unsubstituted heteroaryl.

R²⁴ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,R²⁵-substituted or unsubstituted alkyl, R²⁵-substituted or unsubstitutedheteroalkyl, R²⁵-substituted or unsubstituted cycloalkyl,R²⁵-substituted or unsubstituted heterocycloalkyl, R²⁵-substituted orunsubstituted aryl, or R²⁵-substituted or unsubstituted heteroaryl.

R²⁵ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,R²⁶-substituted or unsubstituted alkyl, R²⁶-substituted or unsubstitutedheteroalkyl, R²⁶-substituted or unsubstituted cycloalkyl,R²⁶-substituted or unsubstituted heterocycloalkyl, R²⁶-substituted orunsubstituted aryl, or R²⁶-substituted or unsubstituted heteroaryl.

R²⁶ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,unsubstituted alkyl, unsubstituted heteroalkyl, unsubstitutedcycloalkyl, unsubstituted heterocycloalkyl, unsubstituted aryl, orunsubstituted heteroaryl.

R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be hydrogen, halogen, —N₃,—CF₃, —CCl₃, —CBr₃, —CI₃, —CN, —CHO, —OR¹³, —NR¹³R¹⁴, —CONR¹³R¹⁴, —NO₂,—SR¹³, —SO_(n3)R¹³, —SO₃OR¹³, —SO_(n3)NR¹³R¹⁴, —NHNR¹³R¹⁴, —ONR¹³R¹⁴, Or—NHC(O)NHNR¹³R¹⁴. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently behydrogen, halogen, —N₃, —CF₃, —CCl₃, —CBr₃, —CI₃, —CN, —CHO, —OH, —NH₂,—CONH₂, —NO₂, or —SH. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently besubstituted or unsubstituted alkyl, substituted or unsubstitutedheteroalkyl, substituted or unsubstituted cycloalkyl, substituted orunsubstituted heterocycloalkyl, substituted or unsubstituted aryl, orsubstituted or unsubstituted heteroaryl.

R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be substituted orunsubstituted alkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently beR²⁷-substituted or unsubstituted alkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ mayindependently be unsubstituted alkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ mayindependently be substituted or unsubstituted C₁-C₂₀ alkyl. R⁵, R⁶, R⁷,R⁸, R⁹, and R¹⁰ may independently be R²⁷-substituted or unsubstitutedC₁-C₂₀ alkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently beunsubstituted C₁-C₂₀ alkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ mayindependently be substituted or unsubstituted C₁-C₁₀ alkyl. R⁵, R⁶, R⁷,R⁸, R⁹, and R¹⁰ may independently be R²⁷ substituted or unsubstitutedC₁-C₁₀ alkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently beunsubstituted C-C₁₀ alkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independentlybe substituted or unsubstituted C₁-C₅ alkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰may independently be R²⁷-substituted or unsubstituted C₁-C₅ alkyl. R⁵,R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be unsubstituted C₁-C₅ alkyl.R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be methyl or substitutedor unsubstituted ethyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently bemethyl or R²⁷-substituted or unsubstituted ethyl. In embodiments, R⁵,R⁶, R⁷, R⁸, R⁹, and R¹⁰ are independently methyl or unsubstituted ethyl.

R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be substituted orunsubstituted heteroalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independentlybe R²⁷-substituted or unsubstituted heteroalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, andR¹⁰ may independently be unsubstituted heteroalkyl. R⁵, R⁶, R⁷, R⁸, R⁹,and R¹⁰ may independently be substituted or unsubstituted 2 to 20membered heteroalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently beR²⁷-substituted or unsubstituted 2 to 20 membered heteroalkyl. R⁵, R⁶,R⁷, R⁸, R⁹, and R¹⁰ may independently be unsubstituted 2 to 20 memberedheteroalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently besubstituted or unsubstituted 2 to 10 membered heteroalkyl. R⁵, R⁶, R⁷,R⁸, R⁹, and R¹⁰ may independently be R²⁷-substituted or unsubstituted 2to 10 membered heteroalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ mayindependently be unsubstituted 2 to 10 membered heteroalkyl. R⁵, R⁶, R⁷,R⁸, R⁹, and R¹⁰ may independently be substituted or unsubstituted 2 to 6membered heteroalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently beR²⁷-substituted or unsubstituted 2 to 6 membered heteroalkyl. R⁵, R⁶,R⁷, R⁸, R⁹, and R¹⁰ may independently be unsubstituted 2 to 6 memberedheteroalkyl.

R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be substituted orunsubstituted 3 to 10 membered cycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰may independently be R²⁷-substituted or unsubstituted 3 to 10 memberedcycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently beunsubstituted 3 to 10 membered cycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰may independently be substituted or unsubstituted 3 to 6 memberedcycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently beR²⁷-substituted or unsubstituted 3 to 6 membered cycloalkyl. R⁵, R⁶, R⁷,R⁸, R⁹, and R¹⁰ may independently be unsubstituted 3 to 6 memberedcycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be substitutedor unsubstituted 4 to 6 membered cycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰may independently be R²⁷-substituted or unsubstituted 4 to 6 memberedcycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently beunsubstituted 4 to 6 membered cycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰may independently be substituted or unsubstituted 5 or 6 memberedcycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently beR²⁷-substituted or unsubstituted 5 or 6 membered cycloalkyl. R⁵, R⁶, R⁷,R⁸, R⁹, and R¹⁰ may independently be unsubstituted 5 or 6 memberedcycloalkyl.

R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be substituted orunsubstituted 3 to 10 membered heterocycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, andR¹⁰ may independently be R²⁷-substituted or unsubstituted 3 to 10membered heterocycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independentlybe unsubstituted 3 to 10 membered heterocycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹,and R¹⁰ may independently be substituted or unsubstituted 3 to 6membered heterocycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independentlybe R²⁷-substituted or unsubstituted 3 to 6 membered heterocycloalkyl.R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be unsubstituted 3 to 6membered heterocycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independentlybe substituted or unsubstituted 4 to 6 membered heterocycloalkyl. R⁵,R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be R²⁷-substituted orunsubstituted 4 to 6 membered heterocycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, andR¹⁰ may independently be unsubstituted 4 to 6 membered heterocycloalkyl.R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be substituted orunsubstituted 5 or 6 membered heterocycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, andR¹⁰ may independently be R²⁷-substituted or unsubstituted 5 or 6membered heterocycloalkyl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independentlybe unsubstituted 5 or 6 membered heterocycloalkyl.

R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be substituted orunsubstituted 5 to 8 membered aryl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ mayindependently be R²⁷-substituted or unsubstituted 5 to 8 membered aryl.R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently 5 to 8 memberedunsubstituted aryl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently besubstituted or unsubstituted 5 or 6 membered aryl. R⁵, R⁶, R⁷, R⁸, R⁹,and R¹⁰ may independently be R²⁷ substituted or unsubstituted 5 or 6membered aryl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be 5 or 6membered unsubstituted aryl.

R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently be substituted orunsubstituted 5 to 8 membered heteroaryl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰may independently be R²⁷-substituted or unsubstituted 5 to 8 memberedheteroaryl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently 5 to 8membered unsubstituted heteroaryl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ mayindependently be substituted or unsubstituted 5 or 6 memberedheteroaryl. R⁵, R⁶, R⁷, R⁸, R⁹, and R¹⁰ may independently beR²⁷-substituted or unsubstituted 5 or 6 membered heteroaryl. R⁵, R⁶, R⁷,R⁸, R⁹, and R¹⁰ may independently be 5 or 6 membered unsubstitutedheteroaryl.

R⁵ may be hydrogen. R⁵ may be on the 6-position. R⁵ may be unsubstitutedalkyl. R⁵ may be C₁-C₁₀ unsubstituted alkyl. R⁵ is C₁-C₅ unsubstitutedalkyl. R⁵ may be ethyl. R⁵ may be attached to a chiral carbon havingα-stereochemistry. R⁵ may be attached to a chiral carbon havingα-stereochemistry on the 6-position. R⁵ may be —OR³, where R¹³ is asdescribed herein. R¹³ may be hydrogen. R¹³ may be unsubstituted alkyl.R¹³ may be C₁-C₁₀ unsubstituted alkyl. R¹³ may be C₁-C₅ unsubstitutedalkyl. The symbol z5 may be 1 (e.g. R⁵-substituted at the 6-position).The symbol z5 may be 2, 3, 4, 5, or 6.

R⁹ may be methyl or substituted or unsubstituted ethyl. R⁹ may bemethyl. R⁹ may be attached to a chiral carbon having (R)stereochemistry. R⁹ may be methyl attached to a chiral carbon having (R)stereochemistry.

R¹¹ may be hydrogen. R¹¹ may be —OR³, where R¹³ is as described herein.In embodiments, R¹¹ is —OR¹³, where R¹³ is hydrogen, substituted orunsubstituted alkyl (e.g. R²⁷-substituted or unsubstituted alkyl asdescribed herein), or substituted or unsubstituted aryl (e.g. R²⁷substituted or unsubstituted aryl as described herein). In embodiments,R¹³ is hydrogen, methyl (i.e. —OCH₃), unsubstituted ethyl (i.e.—OCH₂CH₃), or unsubstituted phenyl (i.e. —O(C₆H₅)). R¹¹ may be C₁-C₂₀unsubstituted alkyl. R¹¹ may be C₁-C₁₀ unsubstituted alkyl. R¹¹ may beC₁-C₅ unsubstituted alkyl. R¹¹ may be methyl. R¹¹ may be ethyl (i.e.unsubstituted). R¹¹ may be propyl (i.e. unsubstituted). R¹¹ may beattached to a chiral carbon having an (S) stereochemistry. R¹¹ may bemethyl attached to a chiral carbon having an (S) stereochemistry.

R²⁷ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,R²⁸-substituted or unsubstituted alkyl, R²⁸-substituted or unsubstitutedheteroalkyl, R²⁸-substituted or unsubstituted cycloalkyl,R²⁸-substituted or unsubstituted heterocycloalkyl, R²⁸-substituted orunsubstituted aryl, or R²⁸ substituted or unsubstituted heteroaryl.

R²⁸ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,R²⁹-substituted or unsubstituted alkyl, R²⁹-substituted or unsubstitutedheteroalkyl, R²⁹-substituted or unsubstituted cycloalkyl,R²⁹-substituted or unsubstituted heterocycloalkyl, R²⁹-substituted orunsubstituted aryl, or R²⁹-substituted or unsubstituted heteroaryl.

R²⁹ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,unsubstituted alkyl, unsubstituted heteroalkyl, unsubstitutedcycloalkyl, unsubstituted heterocycloalkyl, unsubstituted aryl, orunsubstituted heteroaryl.

X¹ may be C(O). X¹ may be C(R¹)(R²). In embodiments, X¹ is C(H)OH orCH₂.

X² may be C(O). X² may be C(R³)(R⁴). In embodiments, X² is C(H)OH orCH₂.

In embodiments, X¹ and X² may be C(O). In embodiments, if X¹ is C(O), atleast one of R³ and R⁴ is —OH. In embodiments, X¹ is C(O) and X² is C(O)or C(R³)(R⁴), and wherein R³ is —OH. In embodiments, if X¹ is C(R¹)(R²),X² may be C(O). In embodiments, if X¹ is C(H)OH or CH₂, R³ and R⁴ is—OH. In embodiments, if X¹ is C(R¹)(R²) and X² is C(R³)(R⁴), at leastone of R¹, R², R³, and R⁴ is not hydrogen. Thus, in embodiments, X¹ andX² are not CH₂. In embodiments, X¹ and X² are C(H)OH.

R¹, R², R³, and R⁴ may independently be hydrogen or unsubstituted alkyl.R¹, R², R³, and R⁴ may independently be hydrogen or —OR¹³, where R¹³ isas described herein. In embodiments, R¹³ is hydrogen, substituted orunsubstituted alkyl (e.g. R²⁷-substituted alkyl) or substituted orunsubstituted aryl (e.g. R²⁷-substituted aryl). In embodiments, R¹, R²,R³, and R⁴ may independently be hydrogen, —OH, —OCH₃, or —OCH₂CH₃.

R¹ may be hydrogen or unsubstituted alkyl. R¹ may be hydrogen. R¹ may beunsubstituted alkyl. R¹ may be C₁-C₂₀ unsubstituted alkyl. R¹ may beC₁-C₁₀ unsubstituted alkyl. R¹ may be C₁-C₅ unsubstituted alkyl. Inembodiments, R¹ is methyl. R¹ may be —OR¹³, where R¹³ is as describedherein. In embodiments R¹ is —OH.

R² may be hydrogen or unsubstituted alkyl. R² may be hydrogen. R² may beunsubstituted alkyl. R² may be C₁-C₂₀ unsubstituted alkyl. R² may beC₁-C₁₀ unsubstituted alkyl. R² may be C₁-C₅ unsubstituted alkyl. Inembodiments, R² is methyl. R² may be —OR³, where R¹³ is as describedherein. In embodiments R² is —OH.

R¹ and R² may independently be hydrogen or —OH. Thus, in embodiments, R¹is —OH and R² is hydrogen. In embodiments, R² is —OH and R¹ is hydrogen.In embodiments, R¹ and R² are hydrogen. In embodiments, R¹ and R² are—OH. In embodiments, R¹ and R² are unsubstituted alkyl (e.g. methyl orethyl).

R³ may be hydrogen or unsubstituted alkyl. R³ may be hydrogen. R³ may beunsubstituted alkyl. R³ may be C₁-C₂₀ unsubstituted alkyl. R³ may beC₁-C₁₀ unsubstituted alkyl. R³ may be C₁-C₅ unsubstituted alkyl. Inembodiments, R³ is methyl. R³ may be —OR¹³, where R¹³ is as describedherein. In embodiments R³ is —OH.

R⁴ may be hydrogen or unsubstituted alkyl. R⁴ may be hydrogen. R⁴ may beunsubstituted alkyl. R⁴ may be C₁-C₂₀ unsubstituted alkyl. R⁴ may beC₁-C₁₀ unsubstituted alkyl. R⁴ may be C₁-C₅ unsubstituted alkyl. Inembodiments, R⁴ is methyl. R⁴ may be —OR¹³, where R¹³ is as describedherein. In embodiments R⁴ is —OH.

R³ and R⁴ may independently be hydrogen or —OH. Thus, in embodiments, R³is —OH and R⁴ is hydrogen. In embodiments, R⁴ is —OH and R³ is hydrogen.In embodiments, R³ and R⁴ are hydrogen. In embodiments, R³ and R⁴ are—OH. In embodiments, R³ and R⁴ are unsubstituted alkyl (e.g. methyl orethyl).

In embodiments, R¹ and R² are hydrogen and R³ is —OH. In embodiments, R¹is —OH and R³ is —OH. In embodiments, R² is —OH and R³ is —OH.

In embodiments, R¹, R², R³, and R⁴ are defined by formula:

In formula (III), R¹, R², R³, R⁴, R⁵, R⁹, R¹⁰, R¹¹, L¹, and X³ are asdefined herein.

X³ may be —C(O)NH-L²-R¹², —C(O)O-L²-R¹², —C(O)-L²-R¹²,—S(O)_(n1)-L²-R¹², or —S(OR¹³)(OR⁴)O-L²-R¹². X³ may be an acid moiety.In embodiments, X³ is —C(O)NH-L²-R², —C(O)O-L²-R¹², or —C(O)-L²-R¹². X³may be —S(O)_(n1)-L²-R¹², or —S(OR¹³)(OR¹⁴)O-L²-R¹².

L² may independently be a bond or substituted or unsubstituted alkylene.L² may independently be a bond or substituted or unsubstitutedheteroalkylene. L² may independently be substituted or unsubstitutedalkylene or substituted or unsubstituted heteroalkylene. L² mayindependently be a bond. In embodiments, L² is independently substitutedor unsubstituted alkylene. In embodiments, L² is independentlyR³⁰-substituted or unsubstituted alkylene. L² may independently beunsubstituted alkylene. L² may independently be substituted orunsubstituted C₁-C₂₀ alkylene. L² may independently be R³⁰-substitutedor unsubstituted C₁-C₂₀ alkylene. L² may independently be unsubstitutedC₁-C₂₀ alkylene. L² may independently be substituted or unsubstitutedC₁-C₁₀ alkylene. L² may independently be R³⁰-substituted orunsubstituted C₁-C₁₀ alkylene. L² may independently be unsubstitutedC₁-C₁₀ alkylene. L² may independently be substituted or unsubstitutedC₁-C₅ alkylene. L² may independently be R³⁰-substituted or unsubstitutedC₁-C₅ alkylene. L² may independently be unsubstituted C₁-C₅ alkylene. L²may independently be substituted or unsubstituted heteroalkylene. L² mayindependently be R³⁰-substituted or unsubstituted heteroalkylene. L² mayindependently be unsubstituted heteroalkylene. L² may independently besubstituted or unsubstituted 2 to 20 membered heteroalkylene. L² mayindependently be R³⁰-substituted or unsubstituted 2 to 20 memberedheteroalkylene. L² may independently be unsubstituted 2 to 20 memberedheteroalkylene. L² may independently be substituted or unsubstituted 2to 10 membered heteroalkylene. L² may independently be R³⁰-substitutedor unsubstituted 2 to 10 membered heteroalkylene. L² may independentlybe unsubstituted 2 to 10 membered heteroalkylene. L² may independentlybe substituted or unsubstituted 2 to 6 membered heteroalkylene. L² mayindependently be R³⁰-substituted or unsubstituted 2 to 6 memberedheteroalkylene. L² may independently be unsubstituted 2 to 6 memberedheteroalkylene.

R³⁰ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,R³¹-substituted or unsubstituted alkyl, R³¹-substituted or unsubstitutedheteroalkyl, R³¹-substituted or unsubstituted cycloalkyl,R³⁰-substituted or unsubstituted heterocycloalkyl, R³¹-substituted orunsubstituted aryl, or R³¹ substituted or unsubstituted heteroaryl.

R³¹ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHC(NH₂)NH₂, —NHOH, —OCF₃,—OCHF₂, R³²-substituted or unsubstituted alkyl, R³²-substituted orunsubstituted heteroalkyl, R³²-substituted or unsubstituted cycloalkyl,R³²-substituted or unsubstituted heterocycloalkyl, R³²-substituted orunsubstituted aryl, or R³²-substituted or unsubstituted heteroaryl.

R³² is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,R³³-substituted or unsubstituted alkyl, R³³-substituted or unsubstitutedheteroalkyl, R³³-substituted or unsubstituted cycloalkyl,R³³-substituted or unsubstituted heterocycloalkyl, R³³-substituted orunsubstituted aryl, or R³³-substituted or unsubstituted heteroaryl.

R³³ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,unsubstituted alkyl, unsubstituted heteroalkyl, unsubstitutedcycloalkyl, unsubstituted heterocycloalkyl, unsubstituted aryl, orunsubstituted heteroaryl.

In embodiments, R³⁰ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂,—COOH, —SH, —SO₃H, R³¹-substituted or unsubstituted alkyl, orR³¹-substituted or unsubstituted heteroalkyl. In embodiments, R³⁰ isindependently R³¹-substituted or unsubstituted alkyl, or R³¹ substitutedor unsubstituted heteroalkyl. R³¹ is as described herein. Inembodiments, R³¹ is independently oxo, —OH, —NH₂, —COOH, —CONH₂, —NO₂,—SH, —SO₃H, —NHC(NH₂)NH₂, NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,R³²-substituted or unsubstituted alkyl, R³²-substituted or unsubstitutedheteroalkyl, R³²-substituted or unsubstituted heterocycloalkyl,R³²-substituted or unsubstituted aryl, or R³²-substituted orunsubstituted heteroaryl.

In embodiments, the symbol z5 is 1. The symbol z5 may be 2, 3, 4, 5, or6.

R¹² may be an organic acid. R¹² may be —COOH (i.e. —COO⁻) or —SO₃H (i.e.—SO₃ ⁻).

R¹³ and R¹⁴ may independently be hydrogen or substituted orunsubstituted alkyl (e.g. R³⁰-substituted alkyl). In embodiments, R¹³and R¹⁴ are independently hydrogen, methyl, R³⁰-substituted orunsubstituted ethyl, or R³⁰-substituted or unsubstituted phenyl.

In embodiments, the synthetic bile acid derivative has the formula:

In formula (IV), X¹, X², R⁵, R⁹, R¹⁰, R¹¹, L¹, and X³ are as definedherein, including embodiments thereof.

In embodiments of formula (II), (III), and (IV), L¹ is a bond orsubstituted or unsubstituted alkylene, X³ is —C(O)NH-L²-R¹²,—C(O)O-L²-R¹², or —C(O)-L²-R¹², L² is independently substituted orunsubstituted alkylene, and R¹² is an acid moiety (e.g. —COOH). Inembodiments of formula (II), (III), and (IV), L¹ is a bond, substitutedor unsubstituted alkylene and X³ is an acid moiety (e.g. —COOH).

In embodiments, the acid moiety (at position X³ or R¹²) forms anon-covalent bond with metformin.

In embodiments, the synthetic bile acid derivative has the formula:

In formula (IV), X¹, X², R⁵, R⁹, R¹⁰, R¹¹, R¹³, L¹, and X³ are asdefined herein, including embodiments thereof.

The synthetic bile acid derivative may have the formula:

In embodiments, the TGR5 ligand is a natural product TGR5 agonist or asynthetic TGR5 agonist derivative. In embodiments, the natural productTGR5 agonist is a natural triterpenoid TGR5 agonist and the TGR5synthetic agonist derivative is a synthetic TGR5 triterpenoid agonistderivative. The natural TGR5 triterpenoid agonist may be oleanolic acid,betulinic acid, or ursolic acid as shown in FIG. 4. The synthetic TGR5triterpenoid agonist derivative may have the formula:

In the formulae above, L³ is a bond, substituted or unsubstitutedalkylene, or substituted or unsubstituted heteroalkylene. X⁴—C(O)NH-L⁴-R²², —C(O)O-L⁴-R²², —C(O)-L⁴-R²², S(O)_(n2)-L⁴-R²²,—S(OR¹³)(OR¹⁴)O-L⁴-R²², or a first acid moiety. The symbol n2 is 1, 2,or 3. L⁴ is independently a bond, substituted or unsubstituted alkylene,substituted or unsubstituted heteroalkylene. R¹⁵, R¹⁶, R¹⁷, R¹⁸, R¹⁹,R²⁰, and R²¹ are independently hydrogen, halogen, —N₃, —CF₃, —CCl₃,—CBr₃, —CI₃, —CN, —CHO, —OR¹³, —NR¹³R¹⁴, —CONR¹³R¹⁴, —NO₂, —SR¹³,—SO_(n3)R¹³, —SO_(n3)OR¹³, —SO_(n3)NR¹³R¹⁴, —NHNR¹³R¹⁴, —ONR¹³R¹⁴,—NHC(O)NHNR¹³R¹⁴, substituted or unsubstituted alkyl, substituted orunsubstituted heteroalkyl, substituted or unsubstituted cycloalkyl,substituted or unsubstituted heterocycloalkyl, substituted orunsubstituted aryl, or substituted or unsubstituted heteroaryl. R¹³ andR¹⁴ are independently hydrogen, substituted or unsubstituted alkyl,substituted or unsubstituted heteroalkyl, substituted or unsubstitutedcycloalkyl, substituted or unsubstituted heterocycloalkyl, substitutedor unsubstituted aryl, or substituted or unsubstituted heteroaryl. Thesymbol n3 is 1 or 2. The symbols z15 and z17 are independently 1, 2, 3,4, 5, 6, 7, 8 or 9. The symbols z16, z18, and z19 are independently 1,2, 3, 4, 5, or 6. The symbol z20 is 1, 2, 3, 4, 5, 6, or 7. The symbolz21 is 1, 2, 3, or 4. And R²² is a second acid moiety.

L³ may be a bond or substituted or unsubstituted alkylene. L³ may be abond or substituted or unsubstituted heteroalkylene. L³ may besubstituted or unsubstituted alkylene or substituted or unsubstitutedheteroalkylene. L³ may be a bond. In embodiments, L³ is substituted orunsubstituted alkylene. In embodiments, L³ is R³⁵-substituted orunsubstituted alkylene. L³ may be substituted or unsubstituted C₁-C₂₀alkylene. L³ may be R³⁵-substituted or unsubstituted C₁-C₂₀ alkylene. L³may be substituted or unsubstituted C₁-C₁₀ alkylene. L³ may beR³⁵-substituted or unsubstituted C₁-C₁₀ alkylene. L³ may be substitutedor unsubstituted C₁-C₅ alkylene. L³ may be R³⁵-substituted orunsubstituted C₁-C₅ alkylene. L³ may be substituted or unsubstitutedheteroalkylene. L³ may be R³⁵-substituted or unsubstitutedheteroalkylene. L³ may be substituted or unsubstituted 2 to 20 memberedheteroalkylene. L³ may be R³⁵-substituted or unsubstituted 2 to 20membered heteroalkylene. L³ may be substituted or unsubstituted 2 to 10membered heteroalkylene. L³ may be R³⁵-substituted or unsubstituted 2 to10 membered heteroalkylene. L³ may be substituted or unsubstituted 2 to6 membered heteroalkylene. L³ may be R³⁵-substituted or unsubstituted 2to 6 membered heteroalkylene.

R³⁵ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,R³⁶-substituted or unsubstituted alkyl, R³⁶-substituted or unsubstitutedheteroalkyl, R³⁶-substituted or unsubstituted cycloalkyl,R³⁶-substituted or unsubstituted heterocycloalkyl, R³⁶-substituted orunsubstituted aryl, or R³⁶-substituted or unsubstituted heteroaryl.

R³⁶ is independently oxo, halogen, —CF₃, —CN, —OH, —NH₂, —COOH, —CONH₂,—NO₂, —SH, —SO₂Cl, —SO₃H, —SO₄H, —SO₂NH₂, —NHNH₂, —ONH₂, —NHC(O)NHNH₂,—NHC(O)NH₂, —NHSO₂H, —NHC(O)H, —NHC(O)OH, —NHOH, —OCF₃, —OCHF₂,unsubstituted alkyl, unsubstituted heteroalkyl, unsubstitutedcycloalkyl, unsubstituted heterocycloalkyl, unsubstituted 5 aryl, orunsubstituted heteroaryl.

X⁴ may be —C(O)NH-L⁴-R²², —C(O)O-L⁴-R²², —C(O)-L⁴-R²²,—S(O)_(n2)-L⁴-R²², or —S(OR¹³)(OR⁴)O-L⁴-R²². X⁴ may be an acid moiety.If X⁴ is —C(O)NH-L⁴-R²², —C(O)O-L⁴-R²², —C(O)-L⁴-R²², —S(O)_(n2)-L⁴-R²²,or —S(OR¹³)(OR¹⁴)O-L⁴-R²², L⁴ may independently be a bond or substitutedor unsubstituted alkylene. L⁴ may independently be a bond. L⁴ mayindependently be substituted or unsubstituted alkylene. In embodiments,L⁴ is independently substituted or unsubstituted alkylene. Inembodiments, L⁴ is independently R³⁵-substituted or unsubstitutedalkylene. L⁴ may independently be substituted or unsubstituted C₁-C₂₀alkylene. L⁴ may independently be R³⁵-substituted or unsubstitutedC₁-C₂₀ alkylene. L⁴ may independently be substituted or unsubstitutedC₁-C₁₀ alkylene. L⁴ may independently be R³⁵-substituted orunsubstituted C₁-C₁₀ alkylene. L⁴ may independently be substituted orunsubstituted C₁-C₅ alkylene. L⁴ may independently be R³⁵-substituted orunsubstituted C₁-C₅ alkylene. L⁴ may independently be substituted orunsubstituted heteroalkylene. L⁴ may independently be R³⁵-substituted orunsubstituted heteroalkylene. L⁴ may independently be substituted orunsubstituted 2 to 20 membered heteroalkylene. L⁴ may independently beR³⁵-substituted or unsubstituted 2 to 20 membered heteroalkylene. L⁴ mayindependently be substituted or unsubstituted 2 to 10 memberedheteroalkylene. L⁴ may independently be R³⁵-substituted or unsubstituted2 to 10 membered heteroalkylene. L⁴ may independently be substituted orunsubstituted 2 to 6 membered heteroalkylene. L⁴ may independently beR³⁵-substituted or unsubstituted 2 to 6 membered heteroalkylene.

R¹⁵, R¹⁶, R¹⁷, R¹⁸, R¹⁹, R²⁰, and R²¹ may independently be hydrogen,halogen, —N₃, —CF₃, —CCl₃, —CBr₃, —CI₃, —CN, —CHO, —OR¹³, —NR¹³R¹⁴,—CONR¹³R¹⁴, —NO₂, —SR¹³, —SO₃R¹³, —SO_(n3)OR³, —SO_(n3)NR¹³R¹⁴,—NHNR¹³R¹⁴, —ONR¹³RO¹⁴, or —NHC(O)NHNR³R⁴. In embodiments, R¹⁵, R¹⁶,R¹⁷, R¹⁸, R¹⁹, R²⁰, and R²¹ are independently hydrogen, halogen, or —OH.R¹⁵, R¹⁶, R¹⁷, R¹⁸, R¹⁹, R²⁰, and R²¹ may independently be substitutedor unsubstituted alkyl, substituted or unsubstituted heteroalkyl,substituted or unsubstituted cycloalkyl, substituted or unsubstitutedheterocycloalkyl, substituted or unsubstituted aryl, or substituted orunsubstituted heteroaryl. In embodiments, R⁵, R⁶, R¹⁷, R¹⁸, R¹⁹, R²⁰,and R²¹ are independently hydrogen, halogen, —OR³, NR¹³R¹⁴, —CF₃, —NO₂,or substituted or unsubstituted alkyl. In embodiments, R¹³ and R¹⁴ areindependently hydrogen, substituted or unsubstituted alkyl, orsubstituted or unsubstituted aryl. The symbol n3 may be 1. The symbol n3may be 2.

In embodiments, if X⁴ is an acid moiety, the acid moiety is —COOH (i.e.COO⁻) or —SO₃H (i.e. SO₃ ⁻). In embodiments, X⁴ is —COOH (i.e. —COO⁻).In embodiments, X⁴ is —SO₃H (i.e. —SO₃ ⁻). In embodiments, R²² is —COOH(i.e. —COO⁻). In embodiments, R²² is —SO₃H (i.e. —SO₃ ⁻).

The synthetic TGR5 triterpenoid agonist derivatives described herein mayhave the formula:

The synthetic TGR5 triterpenoid agonist derivatives described herein mayhave the formulae:

L³ and X⁴ are as described herein, including embodiments thereof.

In embodiments, the complexes described herein increase the solubilityor bioavailability of metformin or a metformin analogue. Thus, inembodiments, the complexes described herein require a decreased amountof metformin or metformin analogue than metformin alone, to achieve thedesired therapeutic result. In embodiments, the metformin-based TGR5agonist complexes provided herein are agonists of TGR5 and lead to arise in intracellular levels of cAMP.

II. PHARMACEUTICAL COMPOSITIONS

Also provided herein are pharmaceutical compositions containing thecompositions and complexes described herein. Thus, in one aspect is apharmaceutical composition that includes a metformin or metforminanalogue as described herein, including embodiments, and a TGR5 ligandas described herein, including embodiments, together with apharmaceutically acceptable excipient. In embodiments, thepharmaceutical composition includes a complex that includes metformin ormetformin analogue as described herein, including embodiments,non-covalently bound to a TGR5 ligand as described herein, includingembodiments. In embodiments, the metformin or metformin analogue and theTGR5 ligand form a salt.

In another aspect is a pharmaceutical composition that includes acomplex that includes metformin or metformin analogue as describedherein, including embodiments, non-covalently bound to a TGR5 ligand asdescribed herein, including embodiments. The complex is as describedherein. In embodiments, the metformin or metformin analogue and TGR5ligand form a salt. Thus, in embodiments, the non-covalent bond is anionic bond. In embodiments, the non-covalent bond is a hydrogen bond.

The metformin may be present at a therapeutically effective amount. Themetformin may be present at therapeutically effective amount of lessthan about 3000 mg to less than about 10 mg. The metformin may bepresent at therapeutically effective amount of less than about 2500 mgto less than about 20 mg. The metformin may be present attherapeutically effective amount of less than about 2500 mg to less thanabout 30 mg. The metformin may be present at therapeutically effectiveamount of less than about 2500 mg to less than about 100 mg. Themetformin may be present at therapeutically effective amount of lessthan about 2500 mg to less than about 500 mg. The metformin may bepresent at therapeutically effective amount of less than about 2500 mgto less than about 1000 mg.

The metformin may be present at therapeutically effective amount of lessthan about 3000, 2500, 2000, 1750, 1500, 1250, 1000, 800, 750, 500, 400,350, 300, 250, 200, 175, 150, 125, 100, 75, 50, 40, 30, 20, or 10 mg.The metformin may be present at therapeutically effective amount of lessthan about 3000 mg. The metformin may be present at therapeuticallyeffective amount of less than about 2500 mg. The metformin may bepresent at therapeutically effective amount of less than about 2000 mg.The metformin may be present at therapeutically effective amount of lessthan about 1750 mg. The metformin may be present at therapeuticallyeffective amount of less than about 1500 mg. The metformin may bepresent at therapeutically effective amount of less than about 1250 mg.The metformin may be present at therapeutically effective amount of lessthan about 1000 mg. The metformin may be present at therapeuticallyeffective amount of less than about 800 mg. The metformin may be presentat therapeutically effective amount of less than about 750 mg. Themetformin may be present at therapeutically effective amount of lessthan about 500 mg. The metformin may be present at therapeuticallyeffective amount of less than about 400 mg. The metformin may be presentat therapeutically effective amount of less than about 350 mg. Themetformin may be present at therapeutically effective amount of lessthan about 300 mg. The metformin may be present at therapeuticallyeffective amount of less than about 250 mg. The metformin may be presentat therapeutically effective amount of less than about 200 mg. Themetformin may be present at therapeutically effective amount of lessthan about 175 mg. The metformin may be present at therapeuticallyeffective amount of less than about 150 mg. The metformin may be presentat therapeutically effective amount of less than about 125 mg. Themetformin may be present at therapeutically effective amount of lessthan about 100 mg. The metformin may be present at therapeuticallyeffective amount of less than about 75 mg. The metformin may be presentat therapeutically effective amount of less than about 50 mg. Themetformin may be present at therapeutically effective amount of lessthan about 40 mg. The metformin may be present at therapeuticallyeffective amount of less than about 30 mg. The metformin may be presentat therapeutically effective amount of less than about 25 mg. Themetformin may be present at therapeutically effective amount of lessthan about 20 mg. The metformin may be present at therapeuticallyeffective amount of less than about 10 mg.

In embodiments, the therapeutically effective amount of metforminpresent in the pharmaceutical composition is about 5% lower than ametformin dose administered without being in a complex with a TGR5ligand. The therapeutically effective amount of metformin present in thepharmaceutical composition may be about 10% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 20% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 25% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 30% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 40% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 50% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 55% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 60% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 70% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 75% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 80% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 85% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 90% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 95% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 96% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 97% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 98% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in thepharmaceutical composition may be about 99% lower than a metformin doseadministered without being in a complex with a TGR5 ligand.

In embodiments, the complex of the metformin or metformin analogue andthe TGR5 ligand renders the pharmaceutical composition more palatablethan metformin administered alone. Thus, when formulated for oraladministration as described herein, the patient may exhibit increasedadherence compared to a patient administered metformin alone.

In embodiments, the complexes described herein can be formulated aloneor in combination with one or more additional active agents. Thus, inembodiments of the pharmaceutical compositions, the pharmaceuticalcomposition includes an additional agent in a therapeutically effectiveamount. The additional agent may be an anti-diabetes agent as describedherein (e.g. pioglitazone, a sulfonylurea (e.g. glipizide orglibenclamide), a dipeptidyl peptidase-4 inhibitor (e.g. sitagliptin,saxagliptin), or a meglitinide (e.g. repaglinide)). In embodiments, thepharmaceutical compositions include two or more anti-diabetes agents.The additional agent may be an anti-cancer agent as described herein(e.g. Vincristine, Irinotecan, Vemurafenib, Paclitaxel, Cisplatin,Oxaliplatin, Carboplatin, Bevacizumab (AVASTIN®), Gefitinib, Pertuzumab,Trastuzumab, Ganitumab, Erlotinib, Letrozole, Lapatinib, Temozolomide,Gemcitabine, Capecitabine, Epirubicin, Fluorouracil, Temsirolimus, orDocetaxel (taxane)). In embodiments, the pharmaceutical compositionsinclude two or more anti-cancer agents. The additional agent may be acardiovascular disease treating agent (e.g. simvastin, metoprolol,valsartan). Thus, the preparations can also be combined, when desired,with other active substances (e.g. to reduce metabolic degradation).

The complexes described herein can be formulated for transdermaladministration, topical administration, or formulated as applicatorsticks, solutions, suspensions, emulsions, gels, creams, ointments,pastes, jellies, paints, powders, and aerosols. Oral preparationsinclude tablets, pills, powder, dragees, capsules, liquids, lozenges,cachets, gels, syrups, slurries, suspensions, etc., suitable foringestion by the patient. Solid form preparations include powders,tablets, pills, capsules, cachets, suppositories, and dispersiblegranules. Liquid form preparations include solutions, suspensions, andemulsions, for example, water or water/propylene glycol solutions. Thecomplexes described herein may additionally include components toprovide sustained release and/or comfort. Such components include highmolecular weight, anionic mucomimetic polymers, gelling polysaccharidesand finely-divided drug carrier substrates. These components arediscussed in greater detail in U.S. Pat. Nos. 4,911,920; 5,403,841;5,212,162; and 4,861,760. The entire contents of these patents areincorporated herein by reference in their entirety for all purposes. Thecomplexes described herein can also be delivered as microspheres forslow release in the body. For example, microspheres can be administeredvia intradermal injection of drug-containing microspheres, which slowlyrelease subcutaneously (see Rao, J. Biomater Sci. Polym. Ed. 7:623-645,1995; as biodegradable and injectable gel formulations (see, e.g., GaoPharm. Res. 12:857-863, 1995); or, as microspheres for oraladministration (see, e.g., Eyles, J. Pharm. Pharmacol. 49:669-674,1997). In embodiments, the formulations of the complexes describedherein can be delivered by the use of liposomes which fuse with thecellular membrane or are endocytosed, i.e., by employing receptorligands attached to the liposome, that bind to surface membrane proteinreceptors of the cell resulting in endocytosis. By using liposomes,particularly where the liposome surface carries receptor ligandsspecific for target cells, or are otherwise preferentially directed to aspecific organ, one can focus the delivery of the compositions of thepresent invention into the target cells in vivo. (See, e.g.,Al-Muhammed, J. Microencapsul. 13:293-306, 1996; Chonn, Curr. Opin.Biotechnol. 6:698-708, 1995; Ostro, Am. J. Hosp. Pharm. 46:1576-1587,1989). The compositions of the present invention can also be deliveredas nanoparticles. Oral formulations herein may be formulated to reduceor minimize metallic taste or undesirable palatability commonlyassociated with metformin.

Pharmaceutical compositions provided by the present invention includecompositions wherein the active ingredient (e.g. complexes describedherein, including embodiments or examples) is contained in atherapeutically effective amount, i.e., in an amount effective toachieve its intended purpose. The actual amount effective for aparticular application will depend, inter alia, on the condition beingtreated. When administered in methods to treat a disease, suchcompositions will contain an amount of active ingredient effective toachieve the desired result, and/or reducing, eliminating, or slowing theprogression of disease symptoms (e.g. symptoms of cancer, diabetes, orcardiovascular disease. Determination of a therapeutically effectiveamount of a compound of the invention is well within the capabilities ofthose skilled in the art, especially in light of the disclosure herein.

The dosage and frequency (single or multiple doses) administered to amammal can vary depending upon a variety of factors, for example,whether the mammal suffers from another disease, and its route ofadministration; size, age, sex, health, body weight, body mass index,and diet of the recipient; nature and extent of symptoms of the diseasebeing treated, kind of concurrent treatment, complications from thedisease being treated or other health-related problems. Othertherapeutic regimens or agents can be used in conjunction with themethods and complexes described herein. Adjustment and manipulation ofestablished dosages (e.g., frequency and duration) are well within theability of those skilled in the art.

For any complex described herein, the therapeutically effective amountcan be initially determined from cell culture assays. Targetconcentrations will be those concentrations of active compound(s) thatare capable of achieving the methods described herein, as measured usingthe methods described herein or known in the art.

As is well known in the art, therapeutically effective amounts for usein humans can also be determined from animal models. For example, a dosefor humans can be formulated to achieve a concentration that has beenfound to be effective in animals. The dosage in humans can be adjustedby monitoring compounds effectiveness and adjusting the dosage upwardsor downwards, as described above. Adjusting the dose to achieve maximalefficacy in humans based on the methods described above and othermethods is well within the capabilities of the ordinarily skilledartisan.

Dosages may be varied depending upon the requirements of the patient andthe compound being employed. The dose administered to a patient shouldbe sufficient to effect a beneficial therapeutic response in the patientover time. The size of the dose also will be determined by theexistence, nature, and extent of any adverse side-effects. Determinationof the proper dosage for a particular situation is within the skill ofthe practitioner. Generally, treatment is initiated with smaller dosageswhich are less than the optimum dose of the compound. Thereafter, thedosage is increased by small increments until the optimum effect undercircumstances is reached.

Dosage amounts and intervals can be adjusted individually to providelevels of the administered compound effective for the particularclinical indication being treated. This will provide a therapeuticregimen that is commensurate with the severity of the individual'sdisease state. Thus, using the teachings provided herein, an effectiveprophylactic or therapeutic treatment regimen can be planned that doesnot cause substantial toxicity and yet is effective to treat theclinical symptoms demonstrated by the particular patient. This planningshould involve the careful choice of the complex, and combination withother therapies and agents as described herein, by considering factorssuch as compound potency, relative bioavailability, patient body weight,presence and severity of adverse side effects, preferred mode ofadministration and the toxicity profile of the selected agent.

III. KITS

Kits containing the compositions and pharmaceutical compositionsdescribed herein are also contemplated. In one aspect, the kit includesa first pharmaceutical composition that includes a metformin ormetformin analogue and a pharmaceutically acceptable excipient, and asecond pharmaceutical composition that includes a TGR5 ligand asdescribed herein and a pharmaceutically acceptable excipient. The firstand second pharmaceutical compositions may be supplied as a solution oras powders. The first and second pharmaceutical compositions may bestored within the same vessel/container or in separatevessels/containers. Accordingly, the first and second pharmaceuticalcompositions may be admixed to form the complexes described herein,including embodiments thereof.

In another aspect, the kit includes a metformin or metformin analogue, aTGR5 ligand as described herein, including embodiments, and apharmaceutically acceptable excipient. The components (i.e. metformin ormetformin analogue, TGR5 ligand, and pharmaceutically acceptableexcipient) may be supplied as a ready-made solution or as powders. Inembodiments, the components are supplied as powders. The powders may besupplied at predetermined amounts to facilitate easy dissolution atpredetermined concentrations. The powders may be supplied in individualvessels/containers (i.e. each powdered component in a separatevessel/container) or may be supplied combined in any number ofvessels/containers. Similarly, when the components are supplied as aready-made solution, the solution may be supplied at a predeterminedconcentration. Each component may be provided separately in a separatesolution. Alternatively, each component may provide in any number ofsolutions (i.e. at least two components supplied in one solution).

The kits described herein include the metformin or metformin analogueand the TGR5 ligand as a complex described herein. The metformin may bepresent at a therapeutically effective amount as described herein.

IV. METHODS

Provided herein are methods of treating cancer. In one aspect, themethod includes treating cancer in a subject in need thereof byadministering a combined therapeutically effective amount of a metforminor metformin analogue as described herein and a TGR5 ligand as describedherein.

The cancer may be a solid tumor. The cancer may be a cancer associatedwith hyperinsulinemia. The cancer may be melanoma, sarcoma, leukemia(e.g. acute lymphoblastic leukemia, chronic lymphocytic leukemia, acutemyeloblastic leukemia), carcinoma (e.g. adenocarcinoma), lymphoma (e.g.Hodgkin Lymphoma, B-cell Lymphoma, Burkitt Lymphoma), brain cancer, headand neck cancer, thyroid cancer, kidney cancer, stomach cancer,pancreatic cancer, prostate cancer, peritoneal cavity cancer, fallopiantube cancer, endometrial cancer, lung cancer, non-small cell lungcancer, esophageal cancer, medulloblastoma, glioblastoma, lymphoma,colorectal cancer, gastric cancer, liver cancer, ovarian cancer orbreast cancer. The cancer may be colorectal cancer, gastric cancer,liver cancer, ovarian cancer or breast cancer. The gastric cancer may beHer2 positive gastric cancer. The breast cancer may be Her2 positivebreast cancer. The breast cancer may be triple-negative breast cancer.

In embodiments, the cancer is melanoma. In embodiments, the cancer issarcoma. In embodiments, the cancer is leukemia (e.g. acutelymphoblastic leukemia, chronic lymphocytic leukemia, acute myeloblasticleukemia). In embodiments, the cancer is carcinoma (e.g.adenocarcinoma). In embodiments, the cancer is lymphoma (e.g. HodgkinLymphoma, B-cell Lymphoma, Burkitt Lymphoma). In embodiments, the canceris brain cancer. In embodiments, the cancer is head and neck cancer. Inembodiments, the cancer is thyroid cancer. In embodiments, the cancer iskidney cancer. In embodiments, the cancer is pancreatic cancer. Inembodiments, the cancer is prostate cancer. In embodiments, the canceris peritoneal cavity cancer. In embodiments, the cancer is fallopiantube cancer. In embodiments, the cancer is endometrial cancer. Inembodiments, the cancer is lung cancer. In embodiments, the cancer isnon-small cell lung cancer. In embodiments, the cancer is esophagealcancer. In embodiments, the cancer is medulloblastoma. In embodiments,the cancer is glioblastoma. In embodiments, the cancer is colorectalcancer. In embodiments, the cancer is gastric cancer. In embodiments,the cancer is liver cancer. In embodiments, the cancer is ovariancancer. In embodiments, the cancer is breast cancer.

In embodiments, the cancer is refractory to anti-cancer agent treatment.In embodiments, the complexes described herein are co-administered withan anti-cancer agent. The anti-cancer agent is as described herein. Theanti-cancer agent may be Vincristine, Irinotecan, Vemurafenib,Paclitaxel, Cisplatin, Oxaliplatin, Carboplatin, Bevacizumab (AVASTIN®),Gefitinib, Pertuzumab, Trastuzumab, Ganitumab, Erlotinib, Letrozole,Lapatinib, Temozolomide, Gemcitabine, Capecitabine, Epirubicin,Fluorouracil, Temsirolimus, or Docetaxel (taxane). The complexes hereinmay be co-administered with chemo-radiotherapy or Topoisomerase IInhibitors. Such administration may also include administration ofanti-cancer agents.

In embodiments the complexes herein may be administered to treatLi-Fraumeni Syndrome.

Also provided herein are methods of treating diabetes and its associateddiseases. In one aspect is a method of treating diabetes in a subject inneed thereof by administering a combined therapeutically effectiveamount of a metformin or metformin analogue as described herein and aTGR5 ligand as described herein. The subject may be a type 2 diabetessubject. In embodiments, the complexes described herein may beco-administered with anti-diabetes agents described herein. Theanti-diabetes agent may be pioglitazone, a sulfonylurea (e.g. glipizideor glibenclamide), a dipeptidyl peptidase-4 inhibitor (e.g. sitagliptin,saxagliptin), or a meglitinide (e.g. repaglinide).

In another aspect is a method of treating metabolic disease associatedwith diabetes in a subject in need thereof by administering a combinedtherapeutically effective amount of a metformin or metformin analogue asdescribed herein and a TGR5 ligand as described herein. In embodiments,the metabolic disease is hyperglycemia, insulin resistance,hyperinsulinemia, dyslipidemia, or hypertriglyceridemia. Thus, incertain aspects is a method of treating hyperglycemia, insulinresistance, hyperinsulinemia, dyslipidemia, or hypertriglyceridemia byadministering a combined therapeutically effective amount of a metforminor metformin analogue as described herein and a TGR5 ligand as describedherein. In embodiments, the dyslipidemia is hyperlipidemia. Thehyperlipidemia may be hypercholesterolemia.

In another aspect is a method of treating hyperglycemia, insulinresistance, hyperinsulinemia, dyslipidemia, or hypertriglyceridemia in anon-diabetic patient by administering a combined therapeuticallyeffective amount of a metformin or metformin analogue as describedherein and a TGR5 ligand as described herein.

The methods also include methods of treating hypertension in a subjectin need thereof by administering a combined therapeutically effectiveamount of a metformin or metformin analogue as described herein and aTGR5 ligand as described herein. The hypertension may be arterialhypertension. In embodiments, the complex described herein iscoadministered with a blood pressure lowering agent such as a diuretic,beta blocker, ACE inhibitor, Angiotensin II receptor blocker, calciumchannel blocker, alpha blocker, vasodilator, or combination thereof.

In yet another aspect is a method of treating fibrinolysis in a subjectin need thereof by administering a combined therapeutically effectiveamount of a metformin or metformin analogue as described herein and aTGR5 ligand as described herein. In still another aspect is a method oftreating endothelial dysfunction in a subject in need thereof byadministering a combined therapeutically effective amount of a metforminor metformin analogue as described herein and a TGR5 ligand as describedherein. In embodiments, the methods described herein are performed in anon-diabetic patient. The methods herein include a method of decreasingglycated hemoglobin (HbA1c) in a subject in need thereof byadministering a combined therapeutically effective amount of a metforminor metformin analogue as described herein and a TGR5 ligand as describedherein. Also provided is a method of reducing liver weight or kidneyweight in a subject in need thereof by administering a combinedtherapeutically effective amount of a metformin or metformin analogue asdescribed herein and a TGR5 ligand as described herein.

In another aspect, a method of treating fatty liver disease in a subjectin need thereof is provided. The method includes administering acombined therapeutically effective amount of a metformin or metforminanalogue and a TGR5 ligand as described herein. In embodiments, thefatty liver disease is nonalcoholic fatty liver disease.

The methods described herein may be useful in treating conditionsassociated with cardiovascular disease. Thus in one aspect is a methodof reducing blood pressure in a subject in need thereof by administeringa combined therapeutically effective amount of a metformin or metforminanalogue as described herein and a TGR5 ligand as described herein. Thesubject may be a diabetic or non-diabetic patient. The reduction may bein systolic or diastolic blood pressure. In another aspect is a methodof treating cardiovascular disease in a subject in need thereof byadministering a combined therapeutically effective amount of a metforminor metformin analogue as described herein and a TGR5 ligand as describedherein. The cardiovascular disease may be coronary heart disease,atherosclerosis, myocardial infarction, or atherothrombosis. Inembodiments, the cardiovascular disease is in a diabetic patient (e.g.type 2 diabetic patient). In embodiments, the cardiovascular disease isin a non-diabetic patient. In embodiments, the complexes describedherein are co-administered with a cardiovascular therapy agent. Thecardiovascular therapy agent may be a diuretic, beta blocker, ACEinhibitor, Angiotensin II receptor blocker, calcium channel blocker,alpha blocker, vasodilator, or combination thereof.

The methods described herein may be useful in treating conditionsassociated with polycystic ovary syndrome. In one aspect is a method fortreating polycystic ovary syndrome in a subject in need thereof byadministering a combined therapeutically effective amount of a metforminor metformin analogue and a TGR5 ligand as described herein. Inembodiments, the polycystic ovary syndrome is in a diabetic patient(e.g. type 2 diabetic patient). In embodiments, the polycystic ovarysyndrome is in a non-diabetic patient. In embodiments, the complexesdescribed herein are co-administered with an anti-PCOS agent. Theanti-PCOS agent may be spironolactone, finasteride, progesterone,medroxyprogesterone, estradiol (e.g. ethinyl estradiol), levonorgestrel,elfornithine, clomiphen, and gonadotropins (e.g. luteinizing hormone andfollicle-stimulating hormone). The anti-PCOS agent may bespironolactone. The anti-PCOS agent may be progesterone,medroxyprogesterone, estradiol (e.g. ethinyl estradiol), orlevonorgestrel, or a combination therapy thereof.

The TGR5 ligand described in the methods herein may be a natural productTGR5 agonist or a synthetic TGR5 agonist derivative as described hereinin the “compositions” section. Thus, the natural product TGR5 agonistmay be a natural triterpenoid TGR5 agonist or a natural product bileacid as described herein. The synthetic TGR5 agonist derivative may be asynthetic TGR5 triterpenoid agonist derivative or a synthetic bile acidderivative as described by formula (V) or (VI), including embodimentsthereof. In embodiments, the TGR5 ligand is a synthetic bile acidderivative described by formula (II), (III), or (IV) includingembodiments thereof. In embodiments, the metformin or metformin analogueand the TGR5 ligand form a complex as described herein. The complex maybe a salt that is formed between the metformin or metformin analogue andthe TGR5 ligand.

The metformin may be present at therapeutically effective amount of lessthan about 3000 mg to less than about 10 mg. The metformin may bepresent at therapeutically effective amount of less than about 2500 mgto less than about 20 mg. The metformin may be present attherapeutically effective amount of less than about 2500 mg to less thanabout 30 mg. The metformin may be present at therapeutically effectiveamount of less than about 2500 mg to less than about 100 mg. Themetformin may be present at therapeutically effective amount of lessthan about 2500 mg to less than about 500 mg. The metformin may bepresent at therapeutically effective amount of less than about 2500 mgto less than about 1000 mg.

The metformin may be present at therapeutically effective amount of lessthan about 3000, 2500, 2000, 1750, 1500, 1250, 1000, 800, 750, 500, 400,350, 300, 250, 200, 175, 150, 125, 100, 75, 50, 40, 30, 20, or 10 mg.The metformin may be present at therapeutically effective amount of lessthan about 3000 mg. The metformin may be present at therapeuticallyeffective amount of less than about 2500 mg. The metformin may bepresent at therapeutically effective amount of less than about 2000 mg.The metformin may be present at therapeutically effective amount of lessthan about 1750 mg. The metformin may be present at therapeuticallyeffective amount of less than about 1500 mg. The metformin may bepresent at therapeutically effective amount of less than about 1250 mg.The metformin may be present at therapeutically effective amount of lessthan about 1000 mg. The metformin may be present at therapeuticallyeffective amount of less than about 800 mg. The metformin may be presentat therapeutically effective amount of less than about 750 mg. Themetformin may be present at therapeutically effective amount of lessthan about 500 mg. The metformin may be present at therapeuticallyeffective amount of less than about 400 mg. The metformin may be presentat therapeutically effective amount of less than about 350 mg. Themetformin may be present at therapeutically effective amount of lessthan about 300 mg. The metformin may be present at therapeuticallyeffective amount of less than about 250 mg. The metformin may be presentat therapeutically effective amount of less than about 200 mg. Themetformin may be present at therapeutically effective amount of lessthan about 175 mg. The metformin may be present at therapeuticallyeffective amount of less than about 150 mg. The metformin may be presentat therapeutically effective amount of less than about 125 mg. Themetformin may be present at therapeutically effective amount of lessthan about 100 mg. The metformin may be present at therapeuticallyeffective amount of less than about 75 mg. The metformin may be presentat therapeutically effective amount of less than about 50 mg. Themetformin may be present at therapeutically effective amount of lessthan about 40 mg. The metformin may be present at therapeuticallyeffective amount of less than about 30 mg. The metformin may be presentat therapeutically effective amount of less than about 25 mg. Themetformin may be present at therapeutically effective amount of lessthan about 20 mg. The metformin may be present at therapeuticallyeffective amount of less than about 10 mg.

In embodiments, the therapeutically effective amount of metforminpresent in the methods described herein is about 5% lower than ametformin dose administered without being in a complex with a TGR5ligand. The therapeutically effective amount of metformin present in themethods described herein may be about 10% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 20% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 25% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 30% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 40% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 50% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 55% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 60% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 70% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 75% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 80% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 85% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 90% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 95% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 96% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 97% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 98% lower than a metformin doseadministered without being in a complex with a TGR5 ligand. Thetherapeutically effective amount of metformin present in the methodsdescribed herein may be about 99% lower than a metformin doseadministered without being in a complex with a TGR5 ligand.

V. EXAMPLES 1. Example 1

Novel metformin-based TGR5 agonist complexes (proton transfer complexesor salts) are described herein which may act as anti-diabetic andanti-cancer agents. These complexes may significantly impact the type 2diabetes and cancers to targeted therapy (glucose homeostasis). Thesenovel TGR5 agonists are evaluated in vitro by using luciferase-basedreporter and cAMP assays and in vivo in male diabetic db/db mice modelto elucidate their biological properties. The metformin-based TGR5agonist complexes provided herein may be agonists of TGR5 and lead to arise in intracellular levels of cAMP. These complexes could enhance theabsorption of metformin in the intestine and improve the bioavailabilityof metformin. These complexes may provide an important addition to therange of medicines to enhance metformin efficacy. Indeed, the novelmetformin-based TGR5 complexes herein could be employed individually orin combination with other anti-diabetic or anti-cancer agents fortreating the targeted metabolic syndrome or cancers.

The present invention relates to metformin-based TGR5 complexes (e.g.salts) of the anti-diabetic agent metformin. In particular, it wasdiscovered herein that the TGR5 ligands (e.g. agonists) form complexeswith metformin. TGR5 ligands include the bile acid and their novelderivatives, or natural TGR5 agonists such as oleanolic acid (OA),betulinic acid (BA), and ursolic acid (UA), preferably TGR5 bile acidagonistic or TGR5 natural agonistic organic carboxylic acids, optionallyin combination with other anti-diabetic agent and to a method employingsuch complexes for targeted metabolic therapy to treat diabetes orcancers. Using these metformin-based TGR5 ligand complexes specificallycould maintain glucose homeostasis in patients and reduce the dosage ofmetformin—representing attractive strategies in the development oftreatment against metabolic diseases and cancers. Further, this strategymight offer physicians another valuable treatment choice in themanagement of targeted progressive diseases.

The TGR5 agonists forming the complexes (e.g. salts) with metforminpreferably include an organic carboxylic acid which includes saturatedTGR5 bile acid agonists and TGR5 natural or synthetic agonists such asUDCA, 6EUDCA, CA, 6ECDCA, 23(S)-methyl-UDCA, and tauro- and glycol-formcarboxylic acids such as tauro-UDCA, tauro-CA, glycol-UDCA, glycol-CA,and others as described herein. Described herein are complexes (e.g.salts) of metformin in a 1:1 stoichiometric (molar ratio) with a TGR5ligand as described herein and complexes (e.g. salts) of metformin in a1:1 stoichiometric (molar ratio) with a TGR5 natural agonists oleanolicacid, betulinic acid (BA), and ursolic acid.

Diabetes mellitus is now a major health epidemic and is categorized intotwo subclasses: type 1, known as insulin dependent diabetes mellitus(IDDM), and type 2, noninsulin dependent diabetes mellitus (NIDDM).¹Type 2 diabetes is a chronic and progressive metabolic disorder ofcarbohydrate and lipid metabolism and accounts for the nearly 90% ofdiabetes mellitus and results from impaired insulin secretion andreduced peripheral insulin sensitivity—a burgeoning, worldwide healthproblem affecting almost twenty-six million people in the UnitedStates.² Current oral therapies of this disease are limited byavailability of effective medications, including insulin secretagogues,such as sulfonylureas; activators of the peroxisomeproliferator-activated receptor-γ (PPAR-γ), such as thethiazolidinediones; and effectors of the glucose-lowering, exemplifiedwith metformin. Indeed, all of the existing oral hypoglycemic agentshave subsequent failure after long term administration. Deficienciesassociated with currently available treatments include hypoglycemicepisodes, weight gain, gastrointestinal problems, edema, and loss ofresponsiveness over time.

Recent efforts have been made to improve therapies targeting the varietyof pathways involved in diabetes and prediabetic insulin resistance inthe metabolic syndrome, and to promote continued exploration ofalternative targets involved in maintenance of glucose homeostasis. Twobile acid activated receptors were identified—the nuclear farnesoid-Xreceptor (FXR) in 1995,³ and the G protein coupled receptor (GPCR) TGR5in 2002.⁴ FXR and TGR5 were demonstrated to have roles in the regulationof the intricate network governing lipid, cholesterol, glucosehomeostasis and energy homeostasis, the transport and metabolism offatty acids and triglycerides.⁵ Thus, FXR and TGR5 emerged as possiblebiological targets for the treatment of diabetes and associatedmetabolic disorders and cancers.

Bile acids are signaling molecules with systemic endocrine functions andhave long been known to play a central role in the digestive process.They are well known for their role in the solubilization oflipid-soluble nutrients due to their hydrophilic/hydrophobic balance.Bile acids are amphiphilic molecules, which influences theirorganization in solution, and presumably plays a role in their abilityto promote the absorption of polar drugs across membranes. Recentresearch indicated that bile acids are the purported endogenous agonistsfor TGR5 and FXR.⁶ Through signaling effects at FXR and TGR5 receptors,bile acids may regulate a number of cellular processes including thoserelated to their own enterohepatic circulation, but also processesrelevant to glucose, cholesterol, and triglyceride metabolism. TGR5mediates several non-genomic functional responses induced by binding ofbile acids.⁷

TGR5 is a member of the rhodopsin-like subfamily of G-protein-coupledreceptor GPCRs and is expressed in liver, skeletal muscle, brown adiposetissues, monocytes and signaling in the Kuppfer cells.⁸ TGR5 has beenfound to be expressed on the surface of enteroendocrine L-cells in thedistal intestine that these cells secrete GLP-1. It was also found onthe surface of other putative incretins such as PYY. Activation of theTGR5 receptor upon ligand binding results in Gα_(s)-coupled activationof adenylate cyclase. The subsequent downstream signaling cascade maydrive multiple effects that are cell type-dependent including, forexample, enhanced glucagon-like peptide-1 (GLP-1) release fromintestinal cells. This offers improved glycemic control throughpotentiation of glucose-dependent insulin secretion.⁹ Moreover, thesecretion of GLP-1 and PYY in these cells is induced by agonism of TGR5via a signaling pathway using cAMP (cyclic adenosine 5′-monophosphate).Agonism of the TGR5 receptor thus likely leads to cAMP production, whichin turn likely leads to an increase in circulating GLP-1 and otherpossibly beneficial incretins. In vivo data from diabetic and obesityanimal models demonstrate that beneficial therapeutic effects areobserved following activation of TGR5.^(10 M)edicines causing elevatedGLP-1 have been pursued as anti-diabetic agents. More recently, the useof a GLP-1 receptor agonist peptide in clinical treatment has beenapproved by FDA. Thus medicines that are peptide analogs of GLP-1 orincrease GLP-1, e.g. DPP-IV inhibitors, have proved beneficial.”¹¹However, despite these available therapies, the incidence of diabeteshas continued to increase as described above, since therapies areseverely limited by parenteral administration and low in vivostability.¹² Collectively, there is a distinct and pressing need for newdiabetic medications. Agonism of TGR5 receptor provides one strategytowards that end. Accordingly, identification of small molecule agonistsof TGR5 is of high interest. For these reasons, TGR5 agonists may beuseful agents not only to treat diabetes with concurrent management ofglucose levels and body weight but also potentially address otheraspects of metabolic syndrome.

To find a suitable candidate for TGR5 clinical studies, a number of bileacid derivatives and natural products of TGR5 agonists have beendisclosed.” Several potent and selective TGR5 agonists with in vitroactivity have been evaluated (See e.g. U.S. application Ser. No.14/159,995). These results demonstrated TGR5 agonists are useful fortreating diabetes and other metabolic disorders where activation of theTGR5 receptor is beneficial.

More than 70% of diabetics use some sort of pharmaceutical therapy.Example therapies currently include metformin hydrochloride (glucoselowering agent, (N,N dimethylbiguanidinium chloride).¹⁴ Metformin is oneof potent anti-diabetic agent used as a first-line treatment forpatients with type II diabetes, in particular, in overweight and obesepatients. Oral absorption of metformin is variable and incomplete.Metformin has an oral bioavailability of 50-60% under fastingconditions, and is absorbed slowly. Peak plasma concentrations (C_(max))are reached within one to three hours of taking immediate-releasemetformin. The plasma protein binding of metformin is negligible, asreflected by its very high apparent volume of distribution (300-1000 Lafter a single dose). Steady state is usually reached in one or two daysand metformin is not metabolized. It is cleared from the body by tubularsecretion and excreted unchanged in the urine. Metformin is undetectablein blood plasma within 24 hours of a single oral dose and has an averageelimination half-life in plasma is 6.2 hours. Metformin is distributedto (and appears to accumulate in) red blood cells, with a much longerelimination half-life: 17.6 hours (reported as ranging from 18.5 to 31.5hours in a single-dose study of non-diabetic people). Metformin ishighly basic (pKa about 12.4) and is fully protonated underphysiological conditions. Thus, metformin is slowly and incompletelyabsorbed.

The currently marketed metformin hydrochloride salt was approved by theUnited States Food and Drug Administration (FDA) in 1995 as an oralhypoglycemic agent. Metformin may be administered as animmediate-release or extended-release formation. Given alone or incombination with a sulfonylurea and insulin, metformin reduceshyperglycemia. In addition, metformin is known to increase circulatingGLP-1 levels. Further aspects of metformin pathway still remain poorlyunderstood.

Type 2 diabetes is strongly correlated with obesity, a central componentof the metabolic syndrome, and cancer. In addition, the burden ofdiabetes is driven by vascular complications such as cardiovasculardisease. Hyperglycemia appears central to both the vascular consequencesof diabetes and the progressive nature of the disease itself. ¹⁶ Recentstudies showed incremental reductions in glycosylated hemoglobin(HbA1C), a marker of protein glycation, lowered the risk ofdiabetes-related events, including myocardial infarction andmicrovascular complications. Thus, reducing HbA1C values to <7% hasbecome the recommended standard for patients with Type 2 diabetes.Metformin can decrease the level of HbA1c by about 1-2%. Because themedication does not increase the amount of insulin produced by the body,it is less likely to cause dangerously low blood sugar (hypoglycemia),as many other diabetes medications can do.

However, the poor bioavailability of metformin HCl (only ˜50%) requireslarge effective doses. When combined with a rapid kidney excretion,” theadministration of metformin commonly results uncomfortablegastrointestinal adverse effects at effective doses (0.5-2.5 g per day).These gastrointestinal adverse effects include abdominal discomfort andpain, nausea, vomiting, diarrhea, anorexia, metallic taste, and raisingthe risk of lactic acidosis. The metallic taste, in many instances,discourages proper use by both children and adults due to poorpalatability.

Metformin recently emerged as a potential anticancer agent. Smallstudies in cancer patients with or without diabetes suggest metforminmay benefit in lowering insulin levels. The ability of metformin tolower circulating insulin may be particularly important for thetreatment of cancers, including for example, those known to beassociated with hyperinsulinernia (e.g. breast and colon cancer).Epidemiological, preclinical and clinical evidence supports the use ofmetformin as a cancer therapeutic. Moreover, metformin may exhibitdirect inhibitory effects on cancer cells by, without being bound by anyparticular theory, inhibiting mammalian target of raparnycin (mrTOR)signaling and protein synthesis. The large doses of metformin requiredfor treatment discourage its use due to high incidence ofgastrointestinal disturbance such as diarrhea.¹⁹

We hypothesized, without being bound by any particular theory, thatmetformin/TGR5 ligand complexes might be represent an alternativestrategy to overcome the drawbacks of metformin therapy discussedherein. These complexes could improve lipophilicity and enhanceintestinal absorption to levels greater than the metformin hydrochloridealone. Thus, the complexes increase both the bioavailability ofmetformin and its efficacy.

We hypothesized, without being bound by any particular theory, that apharmaceutical composition containing a metformin/TGR5 ligand complex inwhich metformin could be conjugated to the TGR5 agonist chosen fromnatural or synthetic TGR5 agonists. These complexes could reduce sideeffects of metformin, especially uncomfortable gastrointestinal adverseeffects, also could improve taste properties as compared to thehydrochloride salt thus enhancing patient compliance, and finally,enhance the efficacy of metformin.

The incorporation of positive charge of metformin into, for example, aTGR5 bile acid or its synthetic derivatives has been investigated inthis study. The behavior and properties of metformin-based TGR5 agonistcomplexes act in TGR5 activation and may raise new possibilities for thedelivery of hydrophilic metformin across membrane barriers to enhanceits efficacy. Thus, the complexes described herein represent animportant step toward identification of more effective options to treatdiabetes and cancers.

2. Example 2

We designed, synthesized, and evaluated a class of metformin-based TGR5agonist complexes to evaluate how increasing the efficacy of metforminaffects its drug effective. The methodology employs conventional andtraditional salt forming procedures. Thus, for example, the complex wasprepared in a straightforward manner by a transformation of metforminHCl to free base by using NaOH (sodium hydroxide) or KOH (potassiumhydroxide) in ethanol or isopropyl alcohol or other suitable solvent.Treatment of the free base with a natural or synthetic derivative TGR5agonist resulted in the production of metformin TGR5 agonist complexes.We also used alternative preparations of complexes using a series ofsodium salts of bile acid and their derivatives in methanol or othersuitable solvent with metformin hydrochloride. The reaction mixture wasstirred at room temperature overnight, after work-up, solidified withEtOAc to obtain complexes with adequate yields. The desiredmetformin-based TGR5 agonist complex could be recovered by filtration,and dried to form a colorless solid (in a 1:1 molar ratio metformin:TGR5agonist).

These complexes was evaluated in vitro and in vivo. The complexesenhanced the efficacy of metformin and improved the lipophilicity andthe oral drug bioavailability of metformin using this strategy.

A comparison of metformin-based TGR5 bile acid complexes suggestsseveral factors may be involved in the success of such complexes. Wereasoned bile acids and their derivatives, as applied to metformin, werenot only transport enhancer agents but also activated cell surfacereceptor TGR5. Such activation may make the complexes more effectivethan the components alone. Additionally, as described above, metforminis fully protonated under physiological conditions and is thereforeslowly and incompletely absorbed from the upper intestine after oraladministration. This may lead to toxicity related to lactic acidosis. Incontrast, the complexes avoid protonation of metformin because thehydrophilic positively charged of metformin is protonated by TGR5 ligandof the complex. Thus, the complexes enhance the absorption and the riskof lactic acidosis should be irrelevant.

The potential efficacy of the different bile acid related compounds fromtheir ability to increase the intranasal absorption of insulin in ratshas been judged.²⁰ We reasoned, without being bound by any particulartheory, that the lipophilicity of the complexes herein has beenincreased by, at least in part, creating an extensive lipid surface ofTGR5 agonists. The increased lipophilicity resulted in enhanced oralabsorption of metformin. Additionally, the activation of TGR5 viametformin-based TGR5 agonist complex increases the hydrophobic surfaceand increases absorption of insulin into the circulation. According toour in vitro and in vivo data, these more lipophilic metformin-basedTGR5 agonist complexes could greatly enhance the absorption comparedwith metformin itself, yielding greater bioavailability and efficacy ofmetformin. One advantage of this complex approach is that thelipophilicity appears to be a critical parameter in improving efficacyof metformin and plays a role in the determinant of transport activity.The TGR5 ligand also plays an important role in the transfer ofhydrophilic metformin across membranes.

The combinations of metformin and PPARγ and PPARα agonists have beensuggested recently.²² The combination is intended to reducehyperglycemia. However, unlike TGR5 ligands described herein, PPARagonists have potential side-effect especially for weight gaining. TGR5ligands are also shown to benefit type 2 diabetes and dyslipidemia,particularly in the glucose homeostasis. So the metformin-complex may beparticularly useful in cases involving both of type 2 diabetes,dyslipidemia, and possibly cardiovascular disease.²³ We have shown invitro that metformin is not a ligand for the TGR5. Thus, the TGR5 ligandmay activate the TGR5 receptor. The complexes were evaluated in vitrousing luciferase-based reporter and cAMP assays to elucidate theirbiological properties. Surprisingly, the complexes are agonists of TGR5and lead to a rise in intracellular levels of cAMP (See FIG. 5). Thus,the design of the complexes appears to result in synergy betweenmetformin and the TGR5 ligand—that the whole complex has more than anadditive effect from its component parts.

Our in vivo data indicated the daily doses of metformin could be reduced(metformin alone is taken up to a maximal daily human dosage of over 2g). Metformin is known to be absorbed via saturable paracellularroute.²⁵ Absorption of the more lipophilic complexes was likelyincreased in part due to passive transcellular diffusion via TGR5activation. For example, the dose of the complex DY306 (30 mg, 0.057mmol) via i.p. injection required only 3% of the standard dose ofmetformin (250 mg, 1.52 mmol) (FIG. 8). Thus, the complexes appear to bebetter absorbed from the gastrointestinal tract than metformin alone.This avoids many of the unwanted gastrointestinal adverse effectsassociated with metformin. Further, the results indicate the daily dosesof metformin could be reduced by upwards of at least 50%.

The complexes described herein bind and activate TGR5. They aretherefore useful for treating diseases and disorders where activation ofthe TGR5 receptor is beneficial such as type 2 diabetes, metabolicsyndrome, obesity, dyslipidemia, inflammatory diseases (chronic andacute), and hypercholesterolemia, and cancers.

The dual actions of anti-obesity and anti-diabetic properties on theTGR5 make its agonists an attractive choice for the development of drugsfor treating diabetes and related metabolic disorders. The in vivoefficacies of active complexes were comparable to that exerted bymetformin in HbA1c, blood glucose and HOMA index, but requiredsignificantly lower metformin doses. The preliminary results indicatethat the novel complexes could serve as potential drug candidates topromote the bioavailability of metformin and clinical usefulness fortreating diabetes and cancers.

3. Example 3

A series of metformin/TGR5 ligand complexes was designed, synthesized,and characterized by ¹H and ¹³C NMR spectroscopy, and combustionanalysis. These complexes were prepared in a by a transformation ofmetformin HCl to free base—achieved using NaOH or KOH in ethanol orisopropyl alcohol. Treatment of the free base with bile acids or naturalTGR5 agonists resulted in the production of twenty-five metformin-basedTGR5 agonist complexes. The preparations of complexes can be made by aseries of sodium salts of bile acid and their derivatives in methanolwith metformin hydrochloride. The reaction mixture was stirred forovernight at room temperature, after work-up, solidified with EtOAc toobtain the complexes. The reaction between metformin and TGR5 ligandsusing a 1:1 molar ratio was performed to prepare the colorless finalcomplex. The melting points of complexes are different from startingmaterials, i.e. the metformin and the respective TGR5 ligand. Both ¹HNMR and elemental analysis correspond to a 1:1 stoichiometry. Themolecular structures of metformin-based TGR5 agonist complexes arerepresented in FIGS. 1-5. Further details of the individual complex arelisted in Table 1. The molecular structures of exemplary metformin-basedTGR5 bile acid complexes are represented in FIG. 1. The complexformation was completed using the reaction described.

The tauro-form and glyco-form of metformin-based TGR5 bile acid agonistcomplexes can be prepared by coupling metformin hydrochloride to aseries of sodium tauro-bile acid and sodium glyco-bile acid or sodiumforms directly via a reaction in methanol or other suitable solvent. SeeFIG. 2 and FIG. 3).

Oleanolic acid (OA), betulinic acid (BA), and ursolic acid (UA) (FIG.4), the most commonly studied triterpenoids, exhibit modest biologicalactivity along. These natural TGR5 agonists belong to the bioactivephytochemical terpenoids which are ubiquitous triterpenoids in plantkingdom, medicinal herbs, and are integral part of the human diet.Indeed, OA has been marketed in China as an oral drug for the treatmentof liver disorders in humans. Since metformin possesses poor cellpenetration and poor absorption in the intestine, it has limited itsbioavailability in the body. Accordingly, complexes including metforminor metformin analogues and the TGR5 agonists OA, BA, and UA could notonly improve lipophilicity and enhance intestine absorption but alsoincrease the bioavailability of metformin. These complexes may reducethe required daily doses of metformin, and therefore decrease theuncomfortable adverse effects associated with metformin therapy. Inaddition, the complexes increase the solubility of metformin.

The metformin-based TGR5 natural product agonist complexes weresynthesized through the facile and simple synthetic procedures startingfrom commercially available starting materials as shown by FIG. 5. Thetransformation of metformin hydrochloride to free base was achievedusing 1M NaOH (sodium hydroxide) solution in methanol or ethanol. Thecomplex formation reaction was performed by treatment of the metforminfree base with OA, BA, and UA under reflux condition for 12 hrs andresulted in the production of metformin-based OA, BA, and UA complexes.

TABLE 1 A list of metformin-based TGR5 agonist proton transfercomplexes.

No. Metformin-TGR5 ligand complex R¹ R² R⁷ R⁵ R¹¹ DY301 metformin-CAcomplex OH H OH H H DY302 metformin-UDCA complex H OH H H H DY303metformin-CDCA complex OH H H H H DY304 metformin-tauro-UDCA complex HOH H H DY305 metformin-6eCDCA complex OH H H Et H DY306 metformin-6eUDCAcomplex H OH H Et H DY307 metformin-tauro-CA complex OH H OH H DY308metformin-LCA complex H H H H H DY309 metformin-23m-LCA complex H H H HCH₃ DY313 metformin-6eLCA complex OH H H Et CH₃ DY314 metformin-DCAcomplex H H OH H H DY325 metformin-23m-CDCA complex OH H H H CH₃ DY326metformin-23m-UDCA complex H OH H H CH₃ DY327 metformin-tauro-LCAcomplex H H H H DY328 metformin-tauro-CDCA complex OH H H H DY329metformin-glyco-CA complex OH H OH H DY330 metformin-tauro-DCA complex HH OH H DY331 metformin-glyco-CDCA complex OH H H H DY332metformin-glyco-UDCA complex H OH H H DY333 metformin-glyco-LCA complexH H H H DY334 metformin-glyco-DCA complex H H OH H

To assess functional activity, we performed a series of luciferasereporter-based assays to evaluate the biological effects of thesynthesized metformin-based TGR5 agonist complexes. The complexes wereevaluated in cell-based assays for in vitro potency and selectivity,using HEK293 cells stably-expressing human TGR5 and transfected with thecAMP-sensitive reporter plasmid pCRE-Luc. Complexes were evaluated fortheir ability to activate TGR5 at 0.1, 0.5, 1, 5.0, 10, 30, and 50 μMtest concentrations. All of the tested complexes displayed TGR5specificity and potency relative to their native bile acids and naturalTGR5 agonists, represented in FIGS. 7A-7F.

The in vitro data showed that metformin did not directly activate TGR5to induce cAMP formation in HEK293 cells. Nonetheless, the complexesactivated TGR5 receptor. Thus, the combinatorial synthesis of metforminwith TGR5 agonists to synthesize the complex resulted in synergisticactivity between metformin and the TGR5 agonist. The metformin-basedcomplex DY310 exhibited greater potency in luciferase assays thanoleanolic acid against TGR5. LCA, UDCA, 6ECDCA, 6EUDCA, and CA wereselected to assess their biological activity against TGR5. Theircorresponding complex series, DY301, DY302, DY306, and DY305 displayedsame potency compared to native UDCA, 6eUDCA, 6eCDCA, and CA. The mostpotent and specific metformin-based TGR5 agonist complexes we observedwas DY305 and DY306.

A series of metformin/TGR5 ligand complexes (e.g. salts) were prepared.Several complexes were more effective on body weight, fasting glucose,liver weight, kidney weight effects, and HbA1c than metformin aloneusing db/db mice (See FIGS. 7A-7F, 8, 9, 10, and 11).

The complexes were administered daily for 5 weeks to measure the effectin body weight of male db/db mice. The results are displayed in FIG. 8.There was a dose dependent decrease in body weight gain whenadministered daily for 5 weeks, and between each dose group and vehiclecontrol, throughout the remainder of the administered daily for 5 weeksexperiment. Although the decrease in body weight gain appears to lastfor administered daily for 5 weeks, the effect on body weight wasmaintained throughout the dosing period. Complex DY305 is effective inbody weight loss. Complexes DY305 and DY306 did exhibited effect in bodyweight loss but the effect was not significant, perhaps due to aninsufficient dose (30 mg/kg BW, 0.057 mmol, metformin-based TGR5 agonistcomplexes, 250 mg/kg BW metformin, 1.52 mmol).

The dose of the complex DY306 (30 mg, 0.057 mmol) via i.p. injection was3% of that of metformin (250 mg, 1.52 mmol)—a dose significantly lowerthan concentrations currently administered. The glucose tolerance test(GTT) in db/db mice was tested after 5 weeks of treatment. See FIG. 9.The overnight-fasted db/db mice were subjected to glucose tolerance testpost-2.0 g/kg of body weight of oral glucose load. The fasting baselineblood glucose values at 0 min were found to be lower in all the treatedgroups compared to the vehicle-treated control group at thecorresponding time. The treatment did not significantly inhibit the risein postprandial blood glucose level of db/db mice after glucose load of2.0 g/kg of body weight.

Glycated hemoglobin (HbA1c) is often used as a marker for glycemiccontrol. Elevated HbA1c is regarded as an independent risk factor forcoronary heart disease (CHD) and stroke in subjects with diabetes. Wedecided to test the potential of metformin/TGR5 agonist complexes tomodulate HbA1c levels. The metformin/TGR5 agonist complex DY306 dosedependently blocked the increase of HbA1c in db/db mice (FIG. 12). Thetreatment with metformin-based TGR5 agonist complex DY306 improvedglycemic control in the db/db mouse model. These findings indicate thatmetformin/TGR5 agonist complexes may be a new class of therapeuticagents for enhancing the efficacy of metformin.

4. Example 4

The metformin/TGR5 agonist complexes are stable complexes, with the TGR5agonist anion, stabilized by strong intramolecular hydrogen bonds withthe cations of metformin. The TGR5 agonist may promote the complexationthrough N—H . . . O hydrogen bonds. That is, the cations of metformin tooxygens of TGR5 agonist thereby possibly creating a densehydrogen-bonding network. We reasoned that, without being bound by anyparticular theory, that in the presence of cations of metformin, a TGR5agonist links through its oxygen atoms to a metformin and exists as asalt. We believe, without being bound by any particular theory, thatthis salt may undergo an intramolecular complexation and transform intoa solid hydrogen-bonded complex as demonstrated by FIG. 13.

The TGR5 derivatives, 6eCDCA and 6eUDCA, are more potent TGR5 than CDCAand UDCA. 6ECDCA is actually in phase II clinical trials for thetreatment of cholestasis in subjects with primary biliary cirrhosis andfor the management of nonalcoholic steatohepatitis in patients with themetabolic syndrome. We previously developed an improved syntheticpathway to produce 6eCDCA.²⁷ UDCA is the only drug in the bile acidseries that has been approved by FDA for the treatment of primarybiliary cirrhosis (PBC), an autoimmune disease characterized byprogressive cholestasis. UDCA, in contrast to toxic hydrophobic bileacids, has also been shown to suppress the inflammatory response and assuch, is increasingly being employed for the treatment of hepatic andintestinal inflammatory diseases. In addition, treatment with UDCA mayimprove metabolism by lowering serum levels of primary bile acids. Weidentified UDCA and 6EUDCA as TGR5 agonists with EC₅₀ values of 2.39 and1.49 VM, respectively. Data analysis to determine EC₅₀ values wasperformed with GraphPad Prism software using a cAMP standard curve andsigmoidal dose-response (variable slope) equation based on dose-responsecurves with tested compounds. Its conjugates, the Tauro-UDCA andGlyco-UDCA derivatives, were identified as TGR5 agonists.¹³

It is interesting to note that in addition to its use in diabetics,metformin is also effective in the treatment of cancer and is beingexplored as an antiviral and anticancer agent.²⁸ Metformin may also killcancer stem cells. These cancer stem cells make up only a small portionof a cancer, but may be responsible for resistance to chemotherapy orfor causing recurrence of the cancer. Further, metformin is being testedin clinical trials not only as a treatment for cancer, but as a way toprevent it in people at increased risk, including cancer survivors whohave a higher risk of a second primary cancer.

The dose-ranging, double-blind, placebo-controlled study in patientscould examine two dosing regimens: twice daily (DY302 100 mg or less)and once daily (DY302 200 mg or less). For both regimens, the DY302 dosecould be lowered if glucose or HbA1c could be reduced.

5. Example 5

Chemistry General Procedure:

Organic reagents were purchased from commercial suppliers unlessotherwise noted and were used without further purification. All solventswere analytical or reagent grade. All reactions were carried out inflame-dried glassware under argon or nitrogen. Melting points weredetermined and reported automatically by an optoelectronic sensor inopen capillary tubes and were uncorrected. ¹H NMR and ¹³C NMR spectrawere measured at 500 MHz and 125 MHz respectively, using CDCl₃ orDMSO-d₆ as the solvents and tetramethylsilane (Me₄Si) as the internalstandard. Flash column chromatography was performed using Sigma-Aldrichsilica gel 60 (200-400 mesh), carried out under moderate pressure byusing columns of an appropriate size packed and eluted with appropriateeluents. Silica gel chromatography was performed on a BIOTAGE® flashcolumn gradient pump system using 15 cm long columns. All reactions weremonitored by TLC on precoated plates (silica gel HLF). TLC spots werevisualized either by exposure to iodine vapors or by irradiation with UVlight. Organic solvents were removed in vacuum by rotary evaporator.Elemental analyses were performed by Columbia Analytical Services Inc.,Tucson, Ariz.

General Procedure for the Preparation of Metformin-Based TGR5 Bile AcidAgonist Complexes:

Metformin hydrochloride (0.5 g, 3.01 mmol) was added to a solution of 5mL of iso-PrOH and the reaction mixture was stirred at RT for 30 min.Potassium hydroxide (0.18 g, 3.21 mmol) was added to the stirredsolution, at 50° C. for 1 h, and then the reaction mixture was cooled toroom temperature. The solid part (NaCl) was filtered off and thefilter-cake was washed with ethanol and EtOAc. The combined filtrateswere concentrated under reduced pressure affording a white solid as ametformin free base. To a solution of metformin free base (0.38 g, 3.01mmol) in 25 mL of methanol, the appropriate bile acids or theirderivatives (1 equiv) was added. The resulting mixture was stirred forovernight. The solvent was evaporated under reduced pressure, and theresidue was dissolved in chloroform. The chloroform solution wasevaporated under reduced pressure to dryness and solidified by EtOAc.The precipitate was collected by filtration and washed with Hexanes toafford metformin-complex as white solids.

General procedure for the preparation of metformin-based TGR5 agonistcomplexes with tauro-form or glycol-form: To a solution of sodium tauroor sodium glycol bile cholate (3.03 mmol) in 25 mL of methanol,metformin hydrochloride (0.5 g, 3.03 mmol) was added and the reactionmixture was stirred at room temperature overnight. After removing thesolvent under reduced pressure, 10% MeOH in iso-propanol (20 mL) wasadded to the reaction mixture. The solid part (NaCl) was filtered off.The solvent was evaporated under reduced pressure, and the residue wasdissolved in chloroform. The chloroform solution was evaporated underreduced pressure to dryness and solidified by EtOAc. The precipitate wascollected by filtration and washed with hexanes to affordmetformin-complex as white solids.

Examples of Complex Preparations:

Metformin-CA complex (compound DY301). Metformin hydrochloride (0.5 g,3.01 mmol) was added to 2 mL of 1 M NaOH and the reaction mixture wasstirred at RT for 30 min. Water was evaporated in vacuo, and the residuewas dissolved in 5 mL of methanol. The solvent was evaporated, and theresidue was redissolved in 5 mL of methanol and NaCl was filtered. Thefiltered solution was evaporated to yield a metformin free base as awhite solid (0.38 g, 99%). To a solution of metformin free base (0.38 g,3.01 mmol) in methanol (10 mL) was added cholic acid (CA) (1.22 g, 3.01mmol), and the reaction mixture was heated to 50° C. and stirred at 50°C. overnight. The solvent was removed and the residue was solidified byEtOAc to provide white solids 1.31 g (81% yield), mp. 187.9° C. ¹H NMR(DMSO-d₆): (selected data), δ 7.19 (broad, NH), 3.77 (s, 1H), 3.59, (s,1H), 3.14 (m, 1H), 2.91 (s, 6H), 2.15 (m, 2H), 0.89 (d, 3H), 0.79 (s,3H), 0.56 (s, 3H). ¹³C NMR (DMSO-d₆) δ 180.7, 161.8, 73.8, 73.2, 69.0,49.2, 44.3, 42.0, 38.3, 38.1, 37.7, 35.0, 33.2, 31.3, 30.2, 29.0, 25.7,25.4, 20.0, 15.5. Anal. Calcd for C₂₈H₅₁N₅O₅.3H₂O: C, 56.88; H, 8.69; N,11.84. Found: C, 56.66; H, 8.61; N, 11.65. Both ¹H NMR and elementalanalysis correspond to a 1:1 stoichiometry.

Metformin-UDCA complex, (compound DY302). Metformin hydrochloride (0.1g, 0.6 mmol) was added to 2 mL of 1 M NaOH and the reaction mixture wasstirred at RT for 30 min. Water was evaporated in vacuo, and the residuewas dissolved in 5 mL of methanol. The solvent was evaporated, and theresidue was redissolved in 5 mL of methanol and NaCl was filtered. Thefiltered solution was evaporated to yield a metformin free base as awhite solid (0.07 g, 99%). To a solution of metformin in DMF (2 mL),UDCA (0.23 g, 0.6 mmol) was added. The reaction mixture was stirredovernight. The solvent was removed and the residue was solidified byEtOAc to provide white solids 0.12 g (40% yield), mp. 198.8° C. ¹H NMR(DMSO-d₆): (selected data), δ 7.01 (br, NH), 3.31 (s, 6H), 1.94 (m, 2H),1.82 (m, 2H), 1.05 (s, 3H), 0.99 (d, 3H), 0.61 (s, 3H). ¹³C NMR (CDCl₃)δ 181.2, 163.1, 162.3, 72.9, 72.7, 59.2, 58.5, 46.2, 45.5, 43.2, 43.1,41.0, 40.7, 38.7, 38.5, 38.2, 37.1, 36.0, 33.6, 31.6, 30.1, 26.6, 24.2,21.9, 15.4. Anal. Calcd for C₂₈H₅₁N₅O₄.4H₂O: C, 56.63; H, 8.66; N,10.11. Found: C, 56.69; H, 8.88; N, 10.00. Both ¹H NMR and elementalanalysis correspond to a 1:1 stoichiometry.

Metformin-6ECDCA complex, (compound DY305). Metformin hydrochloride (0.5g, 3.01 mmol) was added to 5 mL of 1 M NaOH and the reaction mixture wasstirred at RT for 30 min. Water was evaporated in vacuo, and the residuewas dissolved in 10 mL of methanol. The solvent was evaporated, and theresidue was redissolved in 10 mL of methanol and NaCl was filtered. Thefiltered solution was evaporated to yield a metformin free base as awhite solid (0.37 g, 97%). To a stirred suspension of metformin freebase (0.37 g, 2.86 mmol) in iso-PrOH (5 mL) was added6α-ethyl-chenodeoxycholic acid (6ECDCA) (0.9 g, 2.13 mmol) and thereaction mixture was heated to 50° C. and stirred overnight. The solventwas removed and the residue was solidified by EtOAc to provide whitesolids 0.78 g (71%, yield), mp. 167.8° C. ¹H NMR (D₂O): (selected data),δ 8.31 (s, 2H), 3.67 (s, 1H), 3.33 (s, 1H), 2.91 (s, 6H), 2.09 (s, 2H),0.99 (m, 2H), 0.82 (d, 3H), 0.77 (t, 6H), 0.54 (s, 3H). ¹³C NMR (D₂O) δ177.0, 163.1, 162.3, 74.7, 73.4, 57.9, 52.9, 47.9, 44.3, 42.7, 42.2,38.5, 37.1, 35.9, 35.2, 32.4, 30.8, 26.2, 26.0, 24.8, 23.7, 20.9, 14.5,14.2. Anal. Calcd for C₃₀H₅₅N₅O₄.3H₂O: C, 59.47; H, 9.48; N, 11.56.Found: C, 59.48; H, 9.11, N, 11.53. Both ¹H NMR and elemental analysiscorrespond to a 1:1 stoichiometry.

Metformin-6EUDCA complex, (compound DY306). Metformin hydrochloride(0.05 g, 0.3 mmol) was added to 5 mL of 1 M NaOH and the reactionmixture was stirred at RT for 30 min. Water was evaporated in vacuo, andthe residue was dissolved in 5 mL of methanol. The solvent wasevaporated, and the residue was redissolved in 5 mL of methanol and NaClwas filtered. The filtered solution was evaporated to yield a metforminfree base as a white solid (0.049 g, 98%). To a solution of metformin inDMF (2 mL), 6EUDCA (0.12 g, 0.3 mmol) was added. The reaction mixturewas stirred overnight. The solvent was removed and the residue wassolidified by EtOAc to provide white solids 0.076 g (48% of yield), mp:255.9° C. ¹H NMR (DMSO-d₆): (selected data), δ 8.37 (broad, NH), 3.67(s, 1H), 3.79 (s, 1H), 3.50 (s, 1H), 2.99 (s, 6H), 2.12 (m, 2H), 0.99(m, 2H), 0.89 (m, 6H), 0.82 (d, 3H), 0.58 (s, 3H). ¹³C NMR (DMSO-d₆): δ173.9, 160.3, 160.3, 74.7, 73.4, 58.5, 55.3, 48.1, 44.3, 42.7, 42.2,40.4, 40.2, 38.3, 37.1, 35.2, 32.4, 30.8, 30.7, 28.3, 27.3, 23.7, 20.9,14.5, 14.3. Anal. Calcd for C₃₀H₅₇N₅O₄.10H₂O: C, 49.35; H, 7.59; N,9.59. Found: C, 49.11; H, 7.45, N, 9.10. Both ¹H NMR and elementalanalysis correspond to a 1:1 stoichiometry.

Metformin-tauroUDCA Complex, (Compound DY304).

To a solution of sodium tauroursodeoxycholate (0.5 g, 0.95 mmol) in 25mL of methanol, metformin hydrochloride (0.16 g, 0.95 mmol) was addedand the reaction mixture was stirred at RT for overnight. After removingthe solvent under reduced pressure, 10% MeOH in iso-propanol (20 mL) wasadded to the reaction mixture. The solid part (NaCl) was filtered off.The solvent was evaporated under reduced pressure, and the residue wasdissolved in chloroform. The chloroform solution was evaporated underreduced pressure to dryness and solidified by EtOAc. The precipitate wascollected by filtration and washed with Hexanes to affordmetformin-complex as white solids 0.42 g (72% yield), mp. 173.8° C. ¹HNMR (CDCl₃/CD₃OD): (selected data), δ 7.89 (broad, 2H), 7.19 (d, 2H),6.47 (s, broad, 2H), 3.61 (s, 2H), 3.51 (s, broad, 2H), 3.07 (s, 6H),2.98 (s, 2H), 2.25 (m, 1H), 2.11 (m, 2H), 0.99 (d, 3H), 0.74 (s, 3H).¹³C NMR (CDCl₃/CD₃OD): δ 178.3, 73.6, 73.4, 58.9, 57.9, 52.9, 45.9,45.5, 43.0, 42.2, 40.1, 39.5, 38.3, 37.6, 35.7, 34.7, 32.5, 31.1, 29.4,25.4, 23.9, 20.5, 14.7. Anal. Calcd for C₃₀H₅₆N₆O₆S: C, 57.30; H, 8.98;N, 13.36. Found: C, 56.99; H, 8.45, N, 12.97. Both ¹H NMR and elementalanalysis correspond to a 1:1 stoichiometry.

Metformin-tauroCA complex, (compound DY307). To a solution of sodiumtaurocholate hydrate (1.63 g, 3.03 mmol) in 25 mL of methanol, metforminhydrochloride (0.5 g, 3.03 mmol) was added and the reaction mixture wasstirred at RT for overnight. After removing the solvent under reducedpressure, 10% MeOH in iso-propanol (20 mL) was added to the reactionmixture. The solid part (NaCl) was filtered off. The solvent wasevaporated under reduced pressure, and the residue was dissolved inchloroform. The chloroform solution was evaporated under reducedpressure to dryness and solidified by EtOAc. The precipitate wascollected by filtration and washed with Hexanes to affordmetformin-complex as white solids 1.4 g (72% of yield), mp: 120.5° C. ¹HNMR (CDCl₃/CD₃OD): (selected data), δ 7.61 (broad, 1H), 7.40 (d, 2H),6.93 (s, 1H), 6.44 (s, broad, 2H), 4.04 (s, 1H), 3.90 (s, 1H), 3.70 (t,2H), 3.49 (s, 1H), 3.32 (t, 2H), 3.14 (s, 3H), 3.13 (s, 1H), 3.02 (s,3H), 2.32 (m, 1H), 1.07 (s, 3H), 0.97 (d, 3H), 0.76 (s, 3H). ¹³C NMR(CDCl₃/CD₃OD): δ 178.0, 162.1, 75.8.3, 74.4, 71.1, 53.0, 49.1, 48.7,44.5, 42.3, 42.1, 38.3, 37.5, 35.2, 34.2, 32.8, 30.8, 30.4, 29.3, 25.9,25.2, 20.0, 15.2. Anal. Calcd for C₃₀H₅₆N₆O₇S.2H₂O: C, 52.95; H, 8.39;N, 12.35. Found: C, 52.81; H, 9.00, N, 12.49. Both ¹H NMR and elementalanalysis correspond to a 1:1 stoichiometry.

Metformin-OA (compound DY310). Metformin hydrochloride (0.1 g, 0.6 mmol)was added to a solution of 2 mL of 1 M NaOH and the reaction mixture wasstirred at RT for 30 min. Water was evaporated in vacuo, and the residuewas dissolved in 5 mL of methanol. The solvent was evaporated, and theresidue was redissolved in 5 mL of methanol and NaCl was filtered. Thefiltered solution was evaporated to yield free amine of basic metforminas a white solid (0.07 g 98%). To a solution of metformin in n-butanol(10 mL), oleanolic acid (OA) (0.27 g, 0.6 mmol) was added. The reactionmixture was warmed up to 70° C. and stirred overnight. The solvent wasremoved and the residue was solidified by Hexanes/EtOAc to provide whitesolids (0.27 g, 77%), mp: 254.7° C. ¹H NMR (DMSO-d₆): (selected data), δ7.92 (s, 2H), 7.17 (bs, 4H), 5.11 (s, 1H), 4.27 (s, 1H), 3.00 (s, 1H),2.92 (s, 6H), 1.89 (m, 2H), 1.66 (m, 2H), 1.48 (s, 3H), 1.07 (s, 3H),0.89 (t, 12H), 0.71 (s, 3H), 0.66 (s, 3H). ¹³C NMR (DMSO-d₆): δ 182.6,163.3, 161.0, 147.5, 123.7, 79.6, 57.6, 49.7, 48.9, 43.7, 40.9, 36.4,35.8, 35.3, 31.0, 30.1, 29.8, 28.4, 26.3, 25.7, 20.8, 18.8. Anal. Calcdfor C₃₄H₅₉N₅O₃: C, 69.70; H, 10.15, N, 11.95. Found: C, 69.46; H, 9.87,N, 11.84. Both ¹H NMR and elemental analysis correspond to a 1:1stoichiometry.

6. Example 6

Biology

Cell Culture:

HEK293 and HEK293-TGR5 overexpressing cells were cultured in highglucose Dulbecco's modified Eagle's medium (DMEM, CELLGRO®, Manassas,Va.) with L-glutamine supplemented with 10% (vol/vol) heat-inactivatedfetal bovine serum (Gemini Bio-Products, West Sacramento, Calif.).TGR5-overexpressing HEK293 cells were maintained in G418-containingmedia until plating. Cells were plated in 24-well plates (5×10⁵cells/well) 24 h before transfection. Prior to transfection, cells wererinsed with PBS, and media was replaced with DMEM without phenol redsupplemented with 10% super-stripped FBS.

TGR5 and FXR Luciferase Assay:

To evaluate TGR5 activity of compounds, cells were transfected 100 ngpCRE-luc reporter along with pCMV-galactosidase (10 ng) as an internalcontrol for normalization of transfection efficiency. Plasmids werecomplexed with 2 mL of FUGENE® 6 reagent (Promega, Madison, Wis.) inOPTIMEM® (Invitrogen, Carlsbad, Calif.) and cells were transfected for18 h. The following day, cells were treated with vehicle and appropriateligand as indicated. Luciferase and 3-galactosidase activities wereassayed 6 h later using Luciferase Assay System (Promega) andGALACTO-STAR™ (Applied Biosystems, Foster City, Calif.) reagents,respectively, and a MLX® luminometer (Dynex Technologies, Chantilly,Va.).

To evaluate the FXR activity of compounds, HEK293 cells were transfectedwith 25 ng of farnesoid X receptor expression plasmid (pCMX-hFXR), 25 ngof retinoid X receptor expression plasmid (pCMXhRXR), 100 ng of reporterplasmid (pEcREx6-TK-Luc), and 10 ng of pCMV-β-galactosidase as aninternal control in each well, using FUGENE® 6 reagent. Approximately 18h after transfection, cells were incubated for 12 h with differentconcentrations of each compound in DMEM without phenol red supplementedwith 10% super-stripped FBS. Cells were lysed and normalized andluciferase activity was determined.

cAMP Assays:

HEK293 overexpressing TGR5 were treated with vehicle and appropriateligand for 30 min in induction buffer comprised of serum-free KrebsRinger buffer supplemented with 100 mM Ro 20-1274 and 500 mM IBMX(Sigma, St. Louis, Mo.) and cAMP levels were determined in lysates usingCAMP-GLO™ Assay Kit (Promega) according to the manufacturer's protocol.Data analysis to determine EC₅₀ values was performed with GraphPad Prismsoftware using a cAMP standard curve and sigmoidal dose-response(variable slope) equation based on dose-response curves with testedcompounds.

Animal Model:

This project aimed to test the effects novel metformin-based TGR5agonist complexes (or salts) and developed here at City of Hope, inmodulating glucose and lipid metabolism and preventing weight loss andother metabolic alterations in diabetic db/db mice models. Experimentswere conducted where the compounds and metformin and their complexeswere tested in db/db mice separately. For each experiment, there were 8groups of mice representing the different treatments. For all animalstudies, the desired concentration of metformin-based TGR5 agonistcomplexes were dissolved in vehicle consisting of 20% PEG400, 58% Tween80, 78% water (this method was successfully used in previous experimentswithout toxicity). Eleven-week old male normal and high-fat fed C57BL/6Jmice and 7-week old male B6.BKS-Lepr^(db) (db/db) mice (The JacksonLaboratory, Bar Harbor, Me.) were acclimatized for at least one week ona 12-hour light/dark cycle at 68-72° F., then fed either a standard (10%fat kcal) or high-fat diet containing 60 kcal % fat (Research Diets,Inc., New Brunswick, N.J.) for the duration of the study. All animalswere access to their respective diets and water ad libitum. Mice weredivided into untreated control, and metformin-based TGR5 agonistcomplexes or metformin treated groups and their individual TGR5agonists. For each group, each mouse was given the drugs via i.p.injection, three times a week (Monday, Wednesday, Friday) for a totalduration of 5 weeks. Before, and in the course of treatment, bodyweight, water and food consumption (by weighing before and after weightsof water bottles and leftover food in individual cages) were measured 2xper week, while blood glucose measurements were conducted weekly viatail-bleeding while on physical restraint using disposable cone-shapedplastic holders (Kent Scientific). Various tissues (liver, skeletalmuscles and adipose tissues) and blood (for lipid, insulin and glucosemeasurements), were collected and analyzed at the end of the experiment.Before termination of the study, glucose tolerance tests were performedon each mouse on the last week of treatment. For the glucose tolerancetest (GTT), after an overnight fast, mice were injectedintraperitoneally with glucose (2 g/kg body weight). Blood was sampledfrom the tail vein before and 15, 30, 60, 90, and 120 min after theinjection, and plasma glucose concentrations were determined by aglucometer. Mice were euthanized by CO₂ asphyxiation according to theAssociation for Assessment and Accreditation of Laboratory Animal CareInternational guidelines. The different experimental groups had at least8 animals each.

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EMBODIMENTS Embodiment 1

A complex comprising a metformin or metformin analogue non-covalentlybound to a TGR5 ligand.

Embodiment 2

A complex between a metformin or metformin analogue and a TGR5 ligand,wherein said TGR5 ligand is non-covalently bound to said metformin ormetformin analogue.

Embodiment 3

The complex of embodiment 1 or 2, wherein said non-covalent bond is anionic bond.

Embodiment 4

The complex of any one of embodiments 1 to 3, wherein said metformin ormetformin analogue and said TGR5 ligand form a salt complex.

Embodiment 5

The complex of embodiment 1 or 2, wherein said non-covalent bond is ahydrogen bond.

Embodiment 6

The complex of any one of embodiments 1 to 5, wherein said TGR5 ligandis a natural product TGR5 agonist or a synthetic TGR5 agonistderivative.

Embodiment 7

The complex of embodiment 6, wherein, said natural product TGR5 agonistis a natural triterpenoid TGR5 agonist; and said TGR5 synthetic agonistderivative is a synthetic TGR5 triterpenoid agonist derivative.

Embodiment 8

The complex of embodiment 7, wherein said natural TGR5 triterpenoidagonist is oleanolic acid, betulinic acid, or ursolic acid.

Embodiment 9

The complex of embodiment 7, wherein said synthetic TGR5 triterpenoidagonist derivative has the formula:

wherein, L³ is a bond, substituted or unsubstituted alkylene, orsubstituted or unsubstituted heteroalkylene; X⁴ is —C(O)NH-L⁴-R²²,—C(O)O-L⁴-R²², —C(O)-L⁴-R²², —S(O)_(n2)-L⁴-R²², —S(OR¹³)(OR¹⁴)O-L⁴-R²²,or an acid moiety; n2 is 1, 2, or 3; L⁴ is independently a bond,substituted or unsubstituted alkylene, substituted or unsubstitutedheteroalkylene; R¹⁵, R¹⁶, R¹⁷, R¹⁸, R¹⁹, R²⁰, and R²¹ are independentlyhydrogen, halogen, —N₃, —CF₃, —CCl₃, —CBr₃, —CI₃, —CN, —CHO, —OR¹³,—NR¹³R¹⁴, —CONR¹³R¹⁴, —NO₂, —SR¹³, —SO_(n3)R¹³, —SO_(n3)OR¹³,—SO_(n3)NR¹³R¹⁴, —NHNR¹³R¹⁴, —ONR¹³R¹⁴, —NHC(O)NHNR¹³R¹⁴, substituted orunsubstituted alkyl, substituted or unsubstituted heteroalkyl,substituted or unsubstituted cycloalkyl, substituted or unsubstitutedheterocycloalkyl, substituted or unsubstituted aryl, or substituted orunsubstituted heteroaryl; R¹³ and R¹⁴ are independently hydrogen,substituted or unsubstituted alkyl, substituted or unsubstitutedheteroalkyl, substituted or unsubstituted cycloalkyl, substituted orunsubstituted heterocycloalkyl, substituted or unsubstituted aryl, orsubstituted or unsubstituted heteroaryl; n3 is 1 or 2; z15 and z17 areindependently 1, 2, 3, 4, 5, 6, 7, 8 or 9; z16, z18, and z19 areindependently 1, 2, 3, 4, 5, or 6; z20 is 1, 2, 3, 4, 5, 6, or 7; z21 is1, 2, 3, or 4; and R²² is an acid moiety.

Embodiment 10

The complex of embodiment 9, wherein said synthetic TGR5 triterpenoidagonist derivative has the formula:

Embodiment 11

The complex of embodiment 9 or 10, wherein X⁴ is an acid moiety.

Embodiment 12

The complex of any one of embodiments 9 to 11, wherein said acid moietyis —COOH or —SO₃H.

Embodiment 13

The complex of any one of embodiments 1 to 5, wherein said TGR5 ligandis a natural product bile acid or a synthetic bile acid derivative.

Embodiment 14

The complex of embodiment 13, wherein said natural product bile acid ischolic acid (CA), lithocholic acid (LCA), chenodeoxycholic acid (CDCA),ursodeoxycholic acid (UDCA), deoxycholic acid (DCA), or a naturalanalogue thereof.

Embodiment 15

The complex of embodiment 13 or 14, wherein said TGR5 ligand is asynthetic_bile acid derivative having the formula:

wherein, L¹ is a bond, substituted or unsubstituted alkylene, orsubstituted or unsubstituted heteroalkylene; X¹ is C(O) or C(R¹)(R²); X²is C(O) or C(R³)(R⁴); X³ is —C(O)NH-L²-R¹², —C(O)O-L²-R¹², —C(O)-L²-R¹²,—S(O)_(n1)-L²-R¹², —S(OR¹³)(OR¹⁴)O-L²-R¹², or an acid moiety; n1 is 1,2, or 3; L² is independently a bond, substituted or unsubstitutedalkylene, substituted or unsubstituted heteroalkylene; R¹, R², R³, R⁴and R¹¹ are independently hydrogen or unsubstituted alkyl; R⁵, R⁶, R⁷,R⁸, R⁹, and R¹⁰ are independently hydrogen, halogen, —N₃, —CF₃, —CCl₃,—CBr₃, —CI₃, —CN, —CHO, —OR¹³, —NR¹³R¹⁴, —CONR¹³R¹⁴, —NO₂, —SR¹³,—SO_(n3)R¹³, —SO_(n3)OR¹³, —SO_(n3)NR¹³R¹⁴, —NHNR¹³R¹⁴, —ONR¹³R¹⁴,—NHC(O)NHNR¹³R¹⁴, substituted or unsubstituted alkyl, substituted orunsubstituted heteroalkyl, substituted or unsubstituted cycloalkyl,substituted or unsubstituted heterocycloalkyl, substituted orunsubstituted aryl, or substituted or unsubstituted heteroaryl; n3 is 1or 2; z5 is 1, 2, 3, 4, 5, or 6; z6 and z8 are independently 1, 2, 3, 4,5, 6, 7, or 8; z7 is 1, 2, 3, 4, 5, 6, or 7; R¹² is an acid moiety; andR¹³ and R¹⁴ are independently are independently hydrogen, substituted orunsubstituted alkyl, substituted or unsubstituted heteroalkyl,substituted or unsubstituted cycloalkyl, substituted or unsubstitutedheterocycloalkyl, substituted or unsubstituted aryl, or substituted orunsubstituted heteroaryl.

Embodiment 16

The complex of embodiment 15, wherein R⁶, R⁸, and R¹⁰ are independentlyhydrogen.

Embodiment 17

The complex of embodiment 15 or 16, wherein R¹¹ is unsubstituted alkyl.

Embodiment 18

The complex of any one of embodiments 15 to 17, wherein R¹¹ is attachedto a chiral carbon having (S) stereochemistry.

Embodiment 19

The complex of any one of embodiments 15 to 18, wherein R⁵ isunsubstituted alkyl and z5 is 1.

Embodiment 20

The complex of any one of embodiments 15 to 19, wherein R⁵ is attachedto a chiral carbon having an α-stereochemistry on the 6-position.

Embodiment 21

The complex of any one of embodiments 15 to 20, wherein saidsynthetic_bile acid derivative has formula:

Embodiment 22

The complex of any one of embodiments 15 to 21, wherein X¹ is C(R¹)(R²);and X² is C(R³)(R⁴).

Embodiment 23

The complex of embodiment 22 wherein said synthetic bile acid derivativehas the formula:

Embodiment 24

The complex of any one of embodiments 15 to 23, wherein R¹ and R² arehydrogen and R³ is —OH.

Embodiment 25

The complex of any one of embodiments 15 to 23, wherein R¹ is —OH and R³is —OH.

Embodiment 26

The complex of any one of embodiments 15 to 21, wherein X¹ is C(O); andX² is C(O) or C(R³)(R⁴), and wherein R³ is —OH.

Embodiment 27

The complex of any one of embodiments 15 to 21, wherein X¹ and X² areindependently C(O).

Embodiment 28

The complex of any one of embodiments 15 to 27, wherein, L¹ is a bond orsubstituted or unsubstituted alkylene; X³ is —C(O)NH-L²-R²,—C(O)O-L²-R¹², or —C(O)-L²-R¹²; L² is independently substituted orunsubstituted alkylene; and R¹² is an acid moiety.

Embodiment 29

The complex of any one of embodiments 15 to 27, wherein, L¹ is a bond,substituted or unsubstituted alkylene; and X³ is an acid moiety.

Embodiment 30

The complex of any one of embodiments 6 to 28, wherein said acid moietyforms a non-covalent bond with metformin.

Embodiment 31

The complex of any one of embodiments 6 to 27 and 29 to 30, wherein saidacid moiety is —COOH or —SO₃H.

Embodiment 32

The complex of any one of embodiments 15 to 31, wherein said syntheticbile acid derivative has the formula:

Embodiment 33

The complex of any one of embodiments 1 to 32, wherein said metformin ormetformin analogue and said TGR5 ligand are present at a 1:1 molarratio.

Embodiment 34

A pharmaceutical composition comprising: a metformin or a metforminanalogue; a TGR5 ligand; and a pharmaceutically acceptable excipient.

Embodiment 35

The pharmaceutical composition of embodiment 34, wherein said metforminor metformin analogue and said TGR5 ligand form the complex of any oneof embodiments 1 to 33

Embodiment 36

The pharmaceutical composition of embodiment 34 or 35, wherein saidmetformin or metformin analogue and said TGR5 ligand form a salt.

Embodiment 37

A method of treating cancer in a subject in need thereof, said methodcomprising administering a combined therapeutically effective amount ofa metformin or metformin analogue and a TGR5 ligand.

Embodiment 38

The method of embodiment 37, wherein said cancer is colorectal cancer,gastric cancer, liver cancer, ovarian cancer, or breast cancer.

Embodiment 39

A method of treating diabetes in a subject in need thereof, said methodcomprising administering a combined therapeutically effective amount ofa metformin or metformin analogue and a TGR5 ligand.

Embodiment 40

A method of treating a metabolic disease associated with diabetes in asubject in need thereof, said method comprising administering a combinedtherapeutically effective amount of a metformin or metformin analogueand a TGR5 ligand.

Embodiment 41

The method of embodiment 40, wherein said metabolic disease ishyperglycemia, insulin resistance, hyperinsulinemia, dyslipidemia, orhypertriglyceridemia.

Embodiment 42

A method of treating hyperglycemia in a subject in need thereof, saidmethod comprising administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 43

A method of treating insulin resistance in a subject in need thereof,said method comprising administering a combined therapeuticallyeffective amount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 44

A method of treating hyperinsulinemia in a subject in need thereof, saidmethod comprising administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 45

A method of treating dyslipidemia in a subject in need thereof, saidmethod comprising administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 46

The method of embodiment 45, wherein said dyslipidemia ishyperlipidemia.

Embodiment 47

The method of embodiment 46, wherein said hyperlipidemia ishypercholesterolemia.

Embodiment 48

A method of treating hypertriglyceridemia in a subject in need thereof,said method comprising administering a combined therapeuticallyeffective amount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 49

A method of treating hypertension in a subject in need thereof, saidmethod comprising administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 50

The method of embodiment 49, wherein said hypertension is arterialhypertension.

Embodiment 51

A method of treating fibrinolysis in a subject in need thereof, saidmethod comprising administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 52

A method of treating endothelial dysfunction in a subject in needthereof, said method comprising administering a combined therapeuticallyeffective amount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 53

A method of reducing blood pressure in a subject in need thereof, saidmethod comprising administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 54

The method of embodiment 53, wherein said method reduces systolic ordiastolic blood pressure in said subject.

Embodiment 55

A method of treating polycystic ovary syndrome in a subject in needthereof, said method comprising administering a combined therapeuticallyeffective amount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 56

A method of treating cardiovascular disease in a subject in needthereof, said method comprising administering a combined therapeuticallyeffective amount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 57

The method of embodiment 56, wherein said cardiovascular diseasecomprises coronary heart disease, atherosclerosis, myocardialinfarction, or atherothrombosis.

Embodiment 58

The method of embodiment 56 or 57, wherein said cardiovascular diseaseis in a non-diabetic patient.

Embodiment 59

A method of decreasing glycated hemoglobin (HbA1c) in a subject in needthereof, said method comprising administering a combined therapeuticallyeffective amount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 60

A method of reducing liver weight in a subject in need thereof, saidmethod comprising administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 61

A method of reducing kidney weight in a subject in need thereof, saidmethod comprising administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand.

Embodiment 62

The method of any one of embodiments 37 to 61, wherein said metformin ormetformin analogue and said TGR5 ligand form the complex of any one ofembodiments 1 to 33.

Embodiment 63

The method of any one of embodiments 37 to 62, wherein said metformin ispresent at an amount in said combined therapeutically effective amountof less than about 2500 mg.

Embodiment 64

The method of any one of embodiments 37 to 62, wherein said metformin ispresent at an amount in said combined therapeutically effective amountof less than about 1000 mg.

Embodiment 65

The method of any one of embodiments 37 to 62, wherein said metformin ispresent at an amount in said combined therapeutically effective amountof less than about 800 mg.

Embodiment 66

The method of any one of embodiments 37 to 62, wherein said metformin ispresent at an amount in said combined therapeutically effective amountof less than about 500 mg.

Embodiment 67

The method of any one of embodiments 37 to 62, wherein said metformin ispresent at an amount in said combined therapeutically effective amountof less than about 200 mg.

Embodiment 68

The method of any one of embodiments 37 to 62, wherein said metformin ispresent at an amount in said combined therapeutically effective amountof less than about 150 mg.

Embodiment 69

The method of any one of embodiments 37 to 62, wherein said metformin ispresent at an amount in said combined therapeutically effective amountof less than about 100 mg.

Embodiment 70

The method of any one of embodiments 37 to 62, wherein said metformin ispresent at an amount in said combined therapeutically effective amountof less than about 50 mg.

Embodiment 71

The method of any one of embodiments 37 to 62, wherein said metformin ispresent at an amount in said combined therapeutically effective amountof less than about 20 mg.

Embodiment 72

A kit comprising: i) a first pharmaceutical composition comprising ametformin or a metformin analogue and a pharmaceutically acceptableexcipient; and ii) a second pharmaceutical composition comprising a TGR5ligand and a pharmaceutically acceptable excipient.

Embodiment 73

A kit comprising a pharmaceutical composition comprising: i) a metforminor a metformin analogue; ii) a TGR5 ligand; and iii) a pharmaceuticallyacceptable excipient.

Embodiment 74

The kit of embodiment 72 or 73, wherein said metformin or metforminanalogue and said TGR5 ligand form the complex of any one of embodiments1 to 33.

Embodiment 75

The kit of embodiment 72 or 73, wherein said metformin is present at atherapeutically effective amount of less than about 2500 mg.

Embodiment 76

The kit of embodiment 72 or 73, wherein said metformin is present at atherapeutically effective amount of less than about 1000 mg.

Embodiment 77

The kit of embodiment 72 or 73, wherein said metformin is present at atherapeutically effective amount of less than about 800 mg.

Embodiment 78

The kit of embodiment 72 or 73, wherein said metformin is present at atherapeutically effective amount of less than about 500 mg.

Embodiment 79

The kit of embodiment 72 or 73, wherein said metformin is present at atherapeutically effective amount of less than about 200 mg.

Embodiment 80

The kit of embodiment 72 or 73, wherein said metformin is present at atherapeutically effective amount of less than about 150 mg.

Embodiment 81

The kit of embodiment 72 or 73, wherein said metformin is present at atherapeutically effective amount of less than about 100 mg.

Embodiment 82

The kit of embodiment 72 or 73, wherein said metformin is present at atherapeutically effective amount of less than about 50 mg.

Embodiment 83

The kit of embodiment 72 or 73, wherein said metformin is present at atherapeutically effective amount of less than about 20 mg.

1. A complex comprising a metformin or metformin analogue non-covalentlybound to a TGR5 ligand.
 2. (canceled)
 3. The complex of claim 1, whereinsaid non-covalent bond is an ionic bond.
 4. (canceled)
 5. The complex ofclaim 1, wherein said non-covalent bond is a hydrogen bond.
 6. Thecomplex of claim 1, wherein said TGR5 ligand is a natural product TGR5agonist or a synthetic TGR5 agonist derivative.
 7. The complex of claim6, wherein, said natural product TGR5 agonist is a natural triterpenoidTGR5 agonist; said TGR5 synthetic agonist derivative is a synthetic TGR5triterpenoid agonist derivative.
 8. (canceled)
 9. The complex of claim7, wherein said synthetic TGR5 triterpenoid agonist derivative has theformula:

wherein, L³ is a bond, substituted or unsubstituted alkylene, orsubstituted or unsubstituted heteroalkylene; X⁴ is —C(O)NH-L⁴-R²²,—C(O)O-L⁴-R²², —C(O)-L⁴-R²², —S(O)_(n2)-L⁴-R²², —S(OR¹³)(OR¹⁴)O-L⁴-R²²,or an acid moiety; n2 is 1, 2, or 3; L⁴ is independently a bond,substituted or unsubstituted alkylene, substituted or unsubstitutedheteroalkylene; R¹⁵, R¹⁶, R¹⁷, R¹⁸, R¹⁹, R²⁰, and R²¹ are independentlyhydrogen, halogen, —N₃, —CF₃, —CCl₃, —CBr₃, —CI₃, —CN, —CHO, —OR¹³,—NR¹³R¹⁴, —CONR¹³R¹⁴, —NO₂, —SR¹³, —SO_(n3)R¹³, —SO_(n3)OR¹³,—SO_(n3)NR¹³R¹⁴, —NHNR¹³R¹⁴, —ONR¹³R¹⁴, —NHC(O)NHNR¹³R¹⁴, substituted orunsubstituted alkyl, substituted or unsubstituted heteroalkyl,substituted or unsubstituted cycloalkyl, substituted or unsubstitutedheterocycloalkyl, substituted or unsubstituted aryl, or substituted orunsubstituted heteroaryl; R¹³ and R¹⁴ are independently hydrogen,substituted or unsubstituted alkyl, substituted or unsubstitutedheteroalkyl, substituted or unsubstituted cycloalkyl, substituted orunsubstituted heterocycloalkyl, substituted or unsubstituted aryl, orsubstituted or unsubstituted heteroaryl; n3 is 1 or 2; z15 and z17 areindependently 1, 2, 3, 4, 5, 6, 7, 8 or 9; z16, z18, and z19 areindependently 1, 2, 3, 4, 5, or 6; z20 is 1, 2, 3, 4, 5, 6, or 7; z21 is1, 2, 3, or 4; and R²² is an acid moiety.
 10. The complex of claim 9,wherein said synthetic TGR5 triterpenoid agonist derivative has theformula:


11. The complex of claim 9, wherein X⁴ is an acid moiety. 12.-13.(canceled)
 14. The complex of claim 1, wherein said TGR5 ligand is anatural product bile acid selected from cholic acid (CA), lithocholicacid (LCA), chenodeoxycholic acid (CDCA), ursodeoxycholic acid (UDCA),deoxycholic acid (DCA), or a natural analogue thereof.
 15. The complexof claim 1, wherein said TGR5 ligand is a synthetic_bile acid derivativehaving the formula:

wherein, L¹ is a bond, substituted or unsubstituted alkylene, orsubstituted or unsubstituted heteroalkylene; X¹ is C(O) or C(R¹)(R²); X²is C(O) or C(R³)(R⁴); X³ is —C(O)NH-L²-R¹², —C(O)O-L²-R¹², —C(O)-L²-R¹²,—S(O)_(n1)-L²-R¹², —S(OR¹³)(OR¹⁴)O-L²-R¹², or an acid moiety; n1 is 1,2, or 3; L² is independently a bond, substituted or unsubstitutedalkylene, substituted or unsubstituted heteroalkylene; R¹, R², R³, R⁴and R¹¹ are independently hydrogen or unsubstituted alkyl; R⁵, R⁶, R⁷,R⁸, R⁹, and R¹⁰ are independently hydrogen, halogen, —N₃, —CF₃, —CCl₃,—CBr₃, —CI₃, —CN, —CHO, —OR¹³, —NR¹³R¹⁴, —CONR¹³R¹⁴, —NO₂, —SR¹³,—SO_(n3)R¹³, —SO_(n3)OR¹³, —SO_(n3)NR¹³R¹⁴, —NHNR¹³R¹⁴, —ONR¹³R¹⁴,—NHC(O)NHNR¹³R¹⁴, substituted or unsubstituted alkyl, substituted orunsubstituted heteroalkyl, substituted or unsubstituted cycloalkyl,substituted or unsubstituted heterocycloalkyl, substituted orunsubstituted aryl, or substituted or unsubstituted heteroaryl; n3 is 1or 2; z5 is 1, 2, 3, 4, 5, or 6; z6 and z8 are independently 1, 2, 3, 4,5, 6, 7, or 8; z7 is 1, 2, 3, 4, 5, 6, or 7; R¹² is an acid moiety; andR¹³ and R¹⁴ are independently are independently hydrogen, substituted orunsubstituted alkyl, substituted or unsubstituted heteroalkyl,substituted or unsubstituted cycloalkyl, substituted or unsubstitutedheterocycloalkyl, substituted or unsubstituted aryl, or substituted orunsubstituted heteroaryl.
 16. The complex of claim 15, wherein R⁶, R⁸,and R¹⁰ are independently hydrogen.
 17. The complex of claim 15, whereinR¹¹ is unsubstituted alkyl.
 18. The complex of claim 15, wherein R¹¹ isattached to a chiral carbon having (S) stereochemistry.
 19. The complexof claim 15, wherein R⁵ is unsubstituted alkyl and z5 is
 1. 20. Thecomplex of claim 15, wherein R⁵ is attached to a chiral carbon having anα-stereochemistry on the 6-position.
 21. The complex of claim 15,wherein said synthetic_bile acid derivative has formula:


22. The complex of claim 15, wherein X¹ is C(R¹)(R²); and X² isC(R³)(R⁴).
 23. The complex of claim 21 wherein said synthetic bile acidderivative has the formula:


24. (canceled)
 25. The complex of claim 15, wherein R¹ is —OH and R³ is—OH.
 26. The complex of claim 15, wherein X¹ is C(O); and X² is C(O) orC(R³)(R⁴), and wherein R³ is —OH. 27.-28. (canceled)
 29. The complex ofclaim 15, wherein, L¹ is a bond or substituted or unsubstitutedalkylene; and X³ is an acid moiety.
 30. The complex of claim 6, whereinsaid acid moiety forms a non-covalent bond with metformin. 31.(canceled)
 32. The complex of claim 15, wherein said synthetic bile acidderivative has the formula:


33. The complex of claim 1, wherein said metformin or metformin analogueand said TGR5 ligand are present at a 1:1 molar ratio.
 34. Apharmaceutical composition comprising a complex comprising a metforminor metformin analogue non-covalently bound to a TGR5 ligand and apharmaceutically acceptable excipient. 35.-36. (canceled)
 37. A methodof treating a disease or disorder in a subject in need thereof, saidmethod comprising administering a combined therapeutically effectiveamount of a metformin or metformin analogue and a TGR5 ligand.
 38. Themethod of claim 37, wherein said disease or disorder is colorectalcancer, gastric cancer, liver cancer, ovarian cancer, or breast cancer.39. The method of claim 37, wherein the disease or disorder is diabetes,a metabolic disease, hypertension, fibrinolysis, endothelialdysfunction, polycystic ovary syndrome, cardiovascular disease or fattyliver disease.
 40. (canceled)
 41. The method of claim 39, wherein saidmetabolic disease is hyperglycemia, insulin resistance,hyperinsulinemia, dyslipidemia, or hypertriglyceridemia. 42.-52.(canceled)
 53. The method of claim 37, wherein the treating comprisesreducing blood pressure, decreasing glycated hemoglobin (HbA1c),reducing liver weight or reducing kidney weight. 54.-61. (canceled) 62.The method of claim 39, wherein said fatty liver disease is nonalcoholicfatty liver disease. 63.-64. (canceled)
 65. The method of claim 37,wherein said metformin is present at an amount of less than about 2500mg. 66.-85. (canceled)